{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Gaussian Process Regression - 2D\n",
    "\n",
    "这里考虑手动实现一个二维的高斯过程回归(GPR)，核心在于数学原理。\n",
    "在下面的代码中，采用 (xi，yi) 和 zi 来表示先验二维数据位置和相应的值，\n",
    "用 (xp, yp) 和 zp 来表示要预测的位置和最终的预测值。另外特别需要注意，\n",
    "由于 python 的数据存放机制，我们种类以行向量表示一维数据，而非一般教科书的列向量。\n",
    "在写公式时，为了简单起见，约定：(xi，yi) -> ti, (xp, yp) -> tp;\n",
    "并且 zi 的个数为 n，zp 的个数为 m; 均值函数为 $ \\mu_x $：\n",
    "\n",
    "$$ \\mu(t_p) = [z_i - \\mu_x(t_i)] _{1,n} \\cdot K^{-1} _{n,n} (t_i, t_i) \\cdot K _{n,m} (t_p, t_i) + \\mu_x(t_p) $$\n",
    "\n",
    "$$ \\sigma^2(t_p) = K _{m,m} (t_p, t_p) - K _{m,n} (t_i, t_p) \\cdot K^{-1} _{n,n} (t_i, t_i) \\cdot K _{n,m} (t_p, t_i) $$\n",
    "\n",
    "这里我们只需要关注 $ \\mu(t_p) $，它就是我们的预测结果。\n",
    "这里我们进行一些简单的重命名，令\n",
    "$ K^{-1} _{n,n} (t_i, t_i) \\equiv A^{-1} _{nn} $ ,\n",
    "$ K _{n,m} (t_p, t_i) = B _{nm} $ , 且\n",
    "$ W _{nm} = A^{-1} _{nn} \\cdot B _{nm} $ ,\n",
    "则有 $ \\mu(t_p) = [z_i - \\mu_x(t_i)] _{1,n} \\cdot W _{nm} + \\mu_x(t_p) $ 。\n",
    "在原始表达式中，包含有矩阵求逆的操作，理论上可以直接求解。\n",
    "但是这里我们采用另外一种方式，构造一个线性方程组，$ A \\cdot W = B $，\n",
    "而且，由于核函数的特性，系数矩阵 A 是正定的，在 scipy.linalg.solve\n",
    "中我们可以有非常高效的专门针对此类系数矩阵的求解支持。\n",
    "这里获得的 W 可以简单地看做是一个权重矩阵，决定了如何对 zi 进行加权来获得 zp。\n",
    "\n",
    "另外这里的另外一个问题如何处理二维数据，该问题的解决还是落在了核函数上。\n",
    "一个基本的思考是，希望空间上离得越近的点得到的核函数值越大。\n",
    "在此基础上，我们只需要简单的改进一下，使其能够度量二维的距离即可。\n",
    "\n",
    "### 随笔\n",
    "\n",
    "#### 1. 理解预测结果\n",
    "\n",
    "在标准差的表达式中，如果我们认为 tp 为多个值的话（m > 1），\n",
    "对应右边的表达式会得到一个 $ m \\times m $ 的方阵，表示了一个 m 维的多元分布，\n",
    "有点不好理解。但是换个思路，如果我们每次都仅取一个 tp 值，\n",
    "每次都会得到一个单独标准差，更加符合我们的直观诉求，即获得每个预测点的标准差。\n",
    "实际上，仔细分析该表达式会发现，我们逐个取值得到的就是前面方阵的对角元素。\n",
    "这里可能会涉及到一些计算效率上的权衡考虑。\n",
    "\n",
    "#### 2. 相关工具\n",
    "\n",
    "实际上，在 scikit-learn 中，有很多成熟的依赖工具，比如核函数，采样函数 sample_y 等。\n",
    "此外，numpy 也提供了随机采样函数：np.random.multivariate_normal().\n",
    "\n",
    "#### 3. 采样曲线\n",
    "\n",
    "有待实践：当我们给出完整的 $ \\mu(t_p) $ 和方阵 $ \\sigma^2(t_p) $,\n",
    "传入 np.random.multivariate_normal() 就可以得到了采样曲线。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.colorbar.Colorbar at 0x7f2937fb7df0>"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "from scipy.linalg import solve\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "xi, yi = np.meshgrid(np.linspace(0, 1, 11), np.linspace(0, 1, 11))\n",
    "zi = np.ones([11, 11])\n",
    "zi[5, 5] = 10\n",
    "# zi = np.exp(-((xi-0.3)**2 + (yi-0.2)**2)/0.2**2) \\\n",
    "#     + 0.5 * np.exp(-((xi-0.6)**2 + (yi-0.7)**2)/0.3**2)\n",
    "\n",
    "N = 41\n",
    "xp, yp = np.meshgrid(np.linspace(0, 1, N), np.linspace(0, 1, N))\n",
    "zp = np.zeros([N, N])\n",
    "\n",
    "plt.imshow(zi)\n",
    "plt.colorbar(orientation='horizontal')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[1.         0.77880078 0.60653066]\n",
      " [0.77880078 1.         0.77880078]\n",
      " [0.60653066 0.77880078 1.        ]]\n"
     ]
    }
   ],
   "source": [
    "def kernel(u, v, sigma):\n",
    "    ug, vg = np.meshgrid(u, v)\n",
    "    # return np.exp(-np.power(np.abs(ug-vg), 1.2) / 2 / np.power(sigma, 1.2))\n",
    "    return np.exp(-np.abs(ug-vg) / 2 / np.abs(sigma))\n",
    "\n",
    "\n",
    "print(kernel([1, 2, 3], [1, 2, 3], 2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.colorbar.Colorbar at 0x7f2935da1900>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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TNhy+6ChjpNxB/men1z4XvvZrv5bPJSO0k1rh137t1/Lxj3/8GV1nO7qkoEOHDpcN2WYgZpHowOdCKRknzSJ/PHwe+w9cYL87z6v2PsDprSEnWaIMObYQnbgfe5wR8ly/7EFP9qP+HGeBlcEmy3s2OO8XIDpMJZgK8jWDlDV2bNJm7YiGNCioswLl0FPP64yBqQVbpHmGypBXtW5GaG8+ZIbM6LroYJSGFctFwZaTDV7qiPVBe/AA1kzU8gSynsYRcqjmDKbWGQOJIFXa1OpUgjeT6fnpOIIT6kEztRiROmkN1MrpxwgxneClaUM0ceSW6Ayh71I1IUxaCds2ZaZYElhDNLmyKHLXziZMtwQIYbIOJq0EI8Q80/fIJq2WGKLOCtS1nvbN5D40GUhxOKcDoDvNGKQWiJigiYHhouSCLJvMGMRAmmptE74rgctVKfirQpcUdOjQ4bIh21TOOlidAfOGou5xvzvIr8eX8aq9D/D65Uc4WS7yp+56nrC7KGpVd7NbpW4UVk/bphYQQzSOcTnkU7Xhldcd4X+4g5zOFilijvGCPytKsUsblNQRorINxOv7RJtR7a+oBgFwOolvDKa2WsYH3XgCOJtOx962cRTLQrE7YqqULFjdaDLvtYydTuHtiTxoHBKgmhOKXanf3ZxYQ8ScZWYSX4KWx5s4tLevdMVomaErSllNNlRoe/PSsAJSHH7gCHmiK8bE0Iix3dTbEvxUpUBE6Zcxd4RBhvGxZU0IENdDO+zX3kMMkzhAZw4GvZkqRAQoS92sp0/7cFEc5NmkShADgiOG0LIJ2sSAS8wYONPSFSPoQOYVQh2FKsqOr38poEsKOnTocNngNiskVmkHSDS/UhjR51PVQU5uznPy4CL/ZM+f8vy5o/ze4Cv4OIeJxiGjEhMjTkRP4aVJpXCDHVuKYsg9cgPXrpxl9doNHrD7GUmfueOmpdiZ5jSdyq6m1v6+tiMyqqXQzhiEXDC1Zb6sdGo+bZYNzU+qMBNHNRZGq0pX9OtKVxxEPf22m3LUITwTQhuHqZRNUC7oDEVI37qZs2lzrScaAk1/P8Uh6WTuB7N0RRlXM31zbJxKLsJMHNN0RZsqCTG1PKY35ZjuXZoWRe0xIRDmMswUXVHfIBD91DprZ+NoTvo9bRG1icHYfO7T/lQcGAP9XtrsfTuouGNiEAIx2Mn9TNEVRWqlJ14heIQp3sfM618K6JKCDh06XDZIUWNNrdPgVk/VAL4nFFnGqbjIn2bX8/y5oyzbTb599eOcHs0T3KpS7JqNSyfPyDJJNEMtb4/mBjzpltgzv8Xhfed4rFihmsu0LG2nkgNJGgjp1B2yNGOAoXSOapdWM9xmGrozotLJkHrpWoInaSI0cdR9HXIsjNIVGylg0N5525tPegHNPhAd+MwSrdIVTQ19a3buzV8qjj7U85pg2MwRY7y4N2+mhJK2xRF6ujHapvQ/U8af0Py2xyENXbGXteJNzcYeo7Ssih3jqBOLoKErily8qe/QBpihK+ZZaiVYTfYu9R7b4wgy1Uq4cklBFQ1VvFjmeCdGwl9HdElBhw4dLhukqBGpMWYiTAQGn+YEypDzhNvF7w2+gm9f/ThfM3iMB1YPcne2b1LGt6al+UVDYgvo5uL7hi0zJATDS656jLMrA+rhrklvHt2cjAiMG267JXeSSv4CYqmuKqm9UC3axNkXFcNJk/NNMmEkCRfFSRzFbvBOZwyAyUaU+vJAS/PTH9A4citUQ0M11JYC1l66N789DkNLVzT9SOzZnXvz9ZRi4rY46oWc0LOYKvXbYccS/E5xhF5GdCapEKZqQ4iIpHv4XHFkDvKMGNykjH/JTf3iOMgz3dhtol9eKjHYIY6GrtiWZ64AukpBhw4dOiRIWSI4bFO+97M0P1sIRd3n4xzm9GieB1YP8i9X/ydfPfcylc+dose1NL9IS/MDg6mUrviR6npuvfaz3Lt716Q3P0WPMzBD85NgMaXRuQBRuuJoNUw2oil6nKQKgPU7xOGFckEY703l92auIMQdaX5NHDCJY7zHEHtu0puv64tpfs2MAajYUZXoigsWP5djL9WbD5PNtWmJNHGEgaOez7GNhsD2DXWa5ncpumLakBGj14miZfqd4mAyKxEHPa0efK5N/RJxkDkkyya/aJ8vMdhOV8yv3FZXR7tjpeBLZaags07u0KHDXxpra2ssLS1x+P/8eXrFHL2zQn4h4sbN/4KKDTXlZ6NtgZCJDuL93fMcWrrAg8f2IU8OyC4I2Ya6FmZbEVNFbBG0199QB43S9s4+x7H1/DHuaI/eOSFbV0fGfCNgxxFTBmzhdWq/4bonT4RyOef4bZb+aSHbiGQbkd4Fjx0HVSssPFKmjS5trKrgBzGznLp5URkQm5F8zeM2a0zlMeNa19VeN/QQ240sJtre6PrdVENDtuHJNmpMoWtkXE3YBan331YUjMoth6V5iv1Dvd64xpQ1FKW2YHySEvZhUhFoIAbJM+pDeybXK9QFkpTcNAwBHQhMD7sZkBQDq3v0j6Wui4miSOPGOH2/0zAGMz+EXq7OiqW6OE6cGGdjbbamxsRI8hwZzk0cGb1vNRMIodUx2Am11PzX4t1cuHDhiyIxDJN/A39033UMd3BJ3FwPfNMLH/2i3sPlQFcp6NChw2XD/utPsxZ3sfnkPP6EUenitYgtIq6oMWOvLINR2sCSNbD5Ycs/P/xf+OTqIf7f5Vs5cWKJ8kymYkNnId8EW9LaGUtZJ8vfigvXHuY5h49zYtc8Z48v4c44+mcM/rSQbwSyzSRHXNZI4ZGiVNGgusbu30O5Oke1aHDrht5Zg+8J+XrAbSV6Xx100y0rZFwilW6EEiPl1y8RHBSF0D8j9NaMWjw7g9tIJ94yJBvktIGmDTs+azfjXYZy3tA/b3Ajh9usdaaiqJACTWCqamoT1I1X+jnV4hK+b3Ejhx3V2C0L6ZkAECuo48y66D2S5/hn7yf0HFKH9HlYpKqRKk3r1zV4puyMY5soyKF9xMwi/QzZKiafY11DOZkP2L4uhogZzhF7uZ78nVWL57JSp8Vmk4eZdSH9vzEG6eWIC1BbYu2RunGslBnlw+22yzGUV+zfQECYiGhPv/6lcf7ukoIOHTpcNgyzkqt2Hee+6hBFPdABNUlSwTidnJ+mx6El7geP7uOTq4f4oaVHePzAHj5srueYXaaoekm2GBpBIUjugwGIerp/+MQKr7zuCPdG4ZxdoIgZppL2+s0p3zaUvEbmOEayU47qQEmV6z3aUmcYtFfu9JSf2vrtOhFi7emdi4z2CuVyxNQqpdxUjsUrvVDL/xNmgZbHa00expZi2WDqWbpi035p2ARRL6oT/iEgtcdtesolBzJFV5yWUo7tFjkpqaeevt2sqOdzyIx+Hj7OrmvaC4274rTbYVGC6xN6bnYdEx2DNs6dXBK9V0nkxH7QMv/FgkMz6xozpareka74Od0Vr7BLYhkt2Q6DjeWXRk7QJQUdOnS4fHj48X0sB8/XXHeED9vrGM0N0tS7mgVlPWUlXOTmd7TP/7vrVh4/sIc3rvwp7x0c4w+GL+Tj5jAjmySRk1xwcGoglKwOyLYi4Ykhd3MDz95/iv0L6zyU72MkfXxfCDlESe6KmcGaRFBLg4CDE4KEvKUrbtHD54LvmVZd0I0M0RpdZwSxOpDYP6+CSOWi0hWjTXTFpHjorEByO2zdFVPf3G5W9M6rz0GxrK2Qdh7OCKawrSSyGDPrLhhCK+1cz1n8sgMj6q54KZdE0lCkCGarIosoXXExV7riyEBpJ+vqWteVKK3Qe+3Zl5W2AoKb0BVL+/RcEuuJtHPsZUQ7ta6uL7lOmQ6xlXbG2Rm64udyV7zSLolaKbh4fmCn1/46oksKOnTocNngzmSs9QZ8qrePQ7svcNwGthhiSgcxydIGVGAofUcaH8guCCdOLPFhcz3vHRxjv7vA3933F1woBxypVylsBhhs1TARQEKmQ4hVpHfOMOoPeDTbza7hiGv3n+GR8SpRMqKo8qFE2x5FJaQhQSvkazFJIhsqyah2K12RRvwoSSJngPjkkihKGXRbgTx5IoRcqAeJLRFVIwHQU2pIFsVMTuNSBdyWJ1oImVV3xYWJK6PVY69KIqfn257+Q8SM6pau6HtCNUySyA3jYIoV0Zyg2/cpqx3pikZkxpWxXTdNGZwyYjLGzNAVp6WUZ9aDbvAxTKSd073HZJ3cbOrtOu+VDtkkFKCiSI2Zk4lTdEXAxosSgyahuJIuiVV0lDtUCnYSNPrriC4p6NChw2VDdkHwPceJfIkXXHuM1cUNnvKGcmuYrItFWQilluqJ+gWebUB5JuOYXeYPhi/ku1bv5UW9o7x85QgXxn1Os0jpc+w4tQ0wSG1V4MdDfkFPvVuZ0hW/4uCTnFoZsh7nITrcWFLrwaodceW0hWEM+UYgOpPoikbpiguafJiquVfUXbEKuh7d7NzIt3oMIYPxHsH3oVpI69JGJD45JdJsWgGpPHZUK+3SCeW8oR5ANUyOjmjrQqbcDqetk01RgWv6Gk7FkfoNDXLWXXF6HSG2mhAwoSu2tsuN4VHzofqp0n4IM/RPrNETvzPQczpUyVQLwqaEojFyCnGyvpQJXTFzsy2IZoOfsl1ubJtbuqJz4LKJUBIwI23czBiIuaIuiQHTzRR06NChA8DgTHJJDD3u5yAH9p3nZVc/yj31jYxdn5Ab/ZKOkGXS8tN7FyIhNxRVj4+bw1woB7x85Qh37v0UmXju7j+LI9lexqGvbocZpHMuEiL9c0qRE+8oR0P+orqGl19/hCODFZ7s7WIUesp4yCCKCgA5I4gP5Gu6eZpqiq64t6aar4EcouCz1EqIGc4IWJ0VsJuq3ii1SiIToVpMdMUgRGtmKPLGqoRwY4ncSDuDVhaq5K7YsDNi2u2M0RZEs3ECE2nnEJL6Yka5aPG5IUvVCtuYGqVZiqbKQFlNFByTu6Kfy/DDJIkMrYKhxDgxNQpxlv4pohWQ3BHmcl03rWAIM6X9GKMOB3IxXVGVD6sd111kuxziRBI5c2BzxNQ6Y3CRS2JsE4UrgTJaXDdT0KFDhw5oKd7o1/HI9DhW7mF93OMrrn6C+/MDjPpzROMgGnwm5FZdDbOtSDgLEoSR7XOkXuXCuE8mnm9Z/B/c2D/Ou/OX8DF/NcHl+LxRPbS4caB3IZWLo8FUhsL3+Yi7lv3L67zgmmPcHw4xMnkSUdJWQrRgR4FsQ+v1xoP4NA8QHNVipD5YMiIn5EJ0QLREI0RndC6iqNXgqA7t/ZgKpFaRo5AJIZtsSM4qpdAkGeEZaedAcmaEetAkImiLxE4SEQE9MZeVzh40dMk0P+B7Qrmo4kbIJBGRGCezCY27YqogqGeDVlvqYXJXHNeTRKSZTQB930baeWpw00SdE2jdFdO9XuySeLG0M0bAWmIvn7V5btaB/tx25cPmz9PuijvMGFxJl8QQDWGHJCR8ibD/u6SgQ4cOlw3Zpp+4JPYExLEuQ84tzLF7fotzEhmV89ixBQSJJgn6RPJNwCRJZJtxmkXu7j+LG/vHWTRjvmnlfp7aXOSY30VJpif7EkwlZGueLDcEq9tEtIbRcMApG8isZ3X1AieqXSAO4wVbortvgOzCGOeagTzw6yapKELZN9SLOkxIVHfF1iXRR7LNAmLEAnFkJtLOBnxfrZPLRdF7TbMCxAh1hqlq1SPYJokcMiFYHTqshgZbRZqv6sbXQcYx6RKYdojQWNE4UDMoP7CtpoP4OHFzjBHKcuKuCKo0mGYMYmYmrYQmeWHq3kdjpTtAOx/QzC5Ea1XHIXcTHwWYSSZ2knZu4sCYiSTy1LqmlRCToNKO7opJ0nh6xqBpmVxJl8QKs/NMQdc+6NChw5cb3JYH64liCVZP/hIzHumvcNOhE6wMNvlUpeZGzcnWVEYFg0oAm1gGhrLOOZLt5d35S/imlfv57oXP8ul9+7kn3sAJs0RZ9zCVkG8IdlSTOUkDiDrAFnLLKMzzeG15xbVHGJUZa2ZIETJMoh0aD2acrJMDWgmwTalcwDiqQyWV0/aAKXUgUa9jyY7XSK39amt1yr+VRM6EchnKRU1cxJt24xcfMRu00s7GmnRqpo2jHJo2oUhPF/GJrlip3sGE0pfcFafiKJbdZLguTjwPBGAjleMbI6dG2yDFUc9lSD/RR6dmGiRGPfE28xHT7opMJJFbumJ6vZ0VqGulFjbzAXCxJHIvbxUJm2SAdA1C/Pzuis26GJCYfCOuoPfBpWcKrlwL4y+DLino0KHDZYPbLDEx1wG56LAl2EIYxT4PlAdZ3rPBK687wj1yA6O5QRqMM/TPKm+/1SGoBDsWxrHPx+qreWpzkU/v28+de/+c3+yf5P3D53Ofu4qR9OmfFexmkSSOM0xpky6CwRSWcmvI3eFGXnDoGFuLa3ymt6p0xZ4O9C2OilTOD0iSMhZvsaVR++aYU+2aclfMJnTFuaRY2LgSZj7qEGN6H1upJPJoX6Ir5oZeYiu4M0IsyvY0jQ/YxoZ5Ko7xLvVcyBMlEyO4yu8s7bwtjnpoKXqOPCU6xlqMEWJVaz9/Wto5aC++icP3HdViTgaY8YSuCLTqh23PfqoqMCOJvI2uSFEQ/NS67dLOKY7Yz5WumNocsayQGFTP4FLuiikOnIVejhhDFAPBK/PkCqG6xExB1bUPOnTo8OUGGXuMqXAmuSRGA9FoT95knPcL/A93kGtXzvKkW2LLDDGV0775SE+roXElDOhQocs5FnZxT7yB3+yf5NrsFN+7/6OMfcaD1QGqx3rIuMIYo+JEIYK4RDMUnVPo9Xkw28eu+S1uPHCKTxf7iZLhRqKnbpP69VE3b0RnHaKYCV0xZFQrNaCaBxLQhKBxV0zyx8120MYRNY5qLtEVRZOOgdUNa8aVMEaNw0jbMA+ZthKKRa1sANgNqxvxtCth0kJo6wp2MmNQzSe6okmuhtMleJjMGOwQhx84pXWmoUKYZgVM7JR3iiM6AzKhK2KTdoDfNhewQxwYo3TFpgUR/Oe2XZ6KY2bGoEYNla4QfDT4HWYKdnrtryO6pKBDhw6XDVJWiPVYU6vlsE6p4XsNf99xOltk9doN9sxvEYLSFXVtjRUVJkrf7IQMfG4oyThhlnj/8Pl87/6Pcm12mleufIbTW0NGw71KsSutltBRZkGWq1EPKA9/lM8BcGDfGot7NlkL85RrarssZlKOtoVVkYBodewgT/1uDOVVNfW8zhio8qHS9KSsdBgvOQhamI3DgV9RIaVqQWcTMKYtoU+7ErZxpBvKcqUrhr66K4o35HmiDm53JUxxKEvRJLEDRzU/oStK5VT50JiLe/NwURzVdroiTBwat23K2+OIg0yTrERXxMiOtss7xpFnSnl0VhMKMxEjuqS74vSMgTXtjAGhqxQ8XXRJQYcOHS4bpCwR0VK+FaWc6US9RYL21ouY84Ddz+F953jJVY/xkep6osmQUQkBnKDCRA3NT5QuWNY97nNXMfYZr1z5DG/Y8xm2Qs5vL71CT+vpJCupBB8FjLfYSmmQ4BgX89xXHeJrrjvCp3r7OLm5V90ZmdDjdEOOKrAERCNIrfcebU61WlENPRKzlt4XnUNMOumGMIkjZoifxFEuCuOViHgh5E79BkJMswgT8Z+ZOKxgfKSsE11RhN55hwuhNQTayZVwJo7oKJe0eiIh0zL9lNCQ3veE5jcThxX8wBHmpuiK0w6NMGkl7BBHS1cMIEY3S72On7grXiqOzCldUWTK0+HzuCu270+yes4Qqi/ib/0sAgbfzRR06NChA1DWSJqzNqI6AFLHpM2vdD3jhZH0eWy8l7N7B9x67Wd5vPds/dKfosc1oj064Keb8kj6PFgd4PTWkK2Q8/3LH+U39t+WTHVm6XENzc9UMfH9DaYwFOUcH7bXcWj3BXpXbcz05ht6nImxnfQH1RAwdeOjkFEtRsqDpZa524E52o18Jo4qpIG/FH+liUHoO2xz0q51M92J5udEkNphKr2XaihU8w47xSbQDfHzx+EHhnLR4S7Vm4fJpjwdh48qiTyf0RchTJfxt2/Kl4gjDjJMntHaLjcVA8/njQOrcwKXtEzeacag+bMx7QDilUAVLfZLuFLQWSd36NDhL43GNvarvuNf0gu5Wg9XMQ0c6kk42mSXnJuk3idUQ+Xz2wLsCLLNSLYZMXXE1Om0KCSKnuiaOaGeg3IpUu5XvXy3NrE/tmPUrrmIybIYEPCZvofy+IVqHkKuaoj5hYgbJZvnUcBUjU1zuncjRKcDhvXAUPeFcl7orQVdNwq4kccUPqkshomCnkFFjHJLyC2+Z6gWrF6nDOqMOK51XeXVbhkmG6DV3ny0ltB3+EE6sRceu1Xpmobe2NoPp820ofk5C5kj5A6cQYoKKZQeKNXE4pkYW6MiQNc7B86279Feq5o4PqqSYJy1WhYBMYg1uqnnmV6j9q1bZOug6GflBqWZKxCjIkppJiAmW+gZi+ZWqTG0bY8mbhFNKGqpuevMr18R6+Q3f/RV9OcvPm+PN2ruvPVPOuvkDh06fPngxG2RXmnpn3L0z0byzYDb9GTrlW5gZTLEKdUOuNkcHvy/buA5h4/z8IkVwhNDeucM+QXon1NhomxNJYHtZoGMqzRDUBHLis/8sxv58Pf+n7zt9G184Klnc/LUIvapHoOThnwtkm9Eeuc9vdMltvDIqELGavlbXLeXa/73T/MXxw9z+vSQ7HTG4LglvxDJNyP5mt67KWrMqEJGRbsZEiOfuvMapRGedwxOZPTOa8zZRiBbKzGjGjOudd22mE99+/PYuNqRn89nn9VaNbGHHpewWbUWwaausT4Qb7yaE7ct0bsQdN1WwK1XqpBY1khRQVHqtXxiKlRq9yy9Hhe+4SZdM/LYrfRci1pnI8qJxTPeE6u6HUwkRMItzyNkRpOS9ULXTH0eBE0YGtvl0CQLMWAPH8IfXNbPoJjYZzfPprFPju2mn5KGZLssVx9M+gyamMRt67bbNTe2yz5eufZBFc0lKgVfmM7yr/zKr/CLv/iLHD9+nBe96EX80i/9Erfccsslf/5tb3sbv/Zrv8bjjz/OysoK3/Vd38Vb3vIW+v3+07pelxR06PA3HG95y1v43d/9XR588EEGgwEvfelL+df/+l9z0003tT/ztV/7tdx9990z6/7RP/pHvP3tb39G14q9QLm3JJpcBwynKHjRCHY8kevFThwD3dEeJ3bN88rrjnA3NzDqD/A9q2VmA1luyFzizRszobmJ0D8tvO30bbx59eMcyC9w1/A53O8OMiK5K+bN9VVgyCZlQIxBfOSeR27k5mse58zCkEf6K4xin5DrcGQ0lijgRrPuilIZqD2DY47RwZr6kNIVo9VKiA5VZqpgODbperMuif0LgWLDMtoXL35WdtuzSrE25XUpa/rnAuPdyo7IGrqigHHmku6KzYm8d76mXLD47XTF9Jns6K4IRDx2syQu9agXlBlgRtJ+loKyEJDkrgizLomVJixhPtdD/bQk8udwV9Q2QUBGhdIVjWlnOGLzbJt1O9kuX8F6+OVkH/zO7/wOd9xxB29/+9u59dZbedvb3sarX/1qHnroIVZXVy/6+Xe961288Y1v5B3veAcvfelL+fSnP80P/MAPICK89a1vfVrX7JKCDh3+huPuu+/mR3/0R3nJS15CXdf85E/+JN/4jd/Ipz71KYbDYftzP/zDP8y/+Bf/ov373NzcM75WdsYRxFGtVojPlJZnlIKnpfC0AcXYUvkkRnrnhLPHl7g3Cs/ef4pHs91sZUPEqyRysDFR+ZIEbzOMFyPZRuQDTz2bA/kFXjR4jIMHzvEfeSn31wcpMt1AjBdAhYmiCJmPNHNf4USf+/KD7J7f4qZDJ3igPEg0GSHRDiWo2h/N4GTaMEWE/Dz43FItGqrVCsgImbRDjjFRM13qzTfGQIJKLOfnVe+gWmD2WcHsszI6kT/xLwjk60HbIbnSFRulRZtK96274tQ6QemXbrNOXhBCuTChK2Jon+t2d8V21qCosFsWfKSeS5+HMS2ls00oYlQWwVRCodbJFUaEmNmJJPK08mG6zoy7YuOSmOijF9EVt0kiX5RQXEGXxDpaqh0qBfUXUCl461vfyg//8A/zgz/4gwC8/e1v533vex/veMc7eOMb33jRz//pn/4pL3vZy/ie7/keAK699lpe+9rX8tGPfvRpX7NLCjp0+BuO97///TN/f+c738nq6ir33nsvr3jFK9rX5+bm2L9//1/qWtmaUt+qoadaTBKzIckDRwCH1Dr8NjnZBbL1iDvjOGcX2L+wzq7hiBiFYjSfFP1UaMiUVucEIIntBNwYTp5a5K7hczh44Bz73Xm+fuVBTm7OczIuUYYcWyiDAAwSVGDIRk0M8vOG0WCOs8DuwRbLezY47xcgOkyltsuN2ZE065p4N6LKOQPlPC1d0dSJdph+VGoHPrbuiuIdtgjkmyoJPeqpWVO5sE1KeYdn1Zzc3ciT9VQrIOQqiWzqqM84orMGgBToXEAzuJc8G5wTahw+F+pB2sSawcRmer9ZAy3LgNprYgCE3BKdIfRd+3m09MRt7ooiKUGoap2TMLnSFXPXSinrz8aL3BXbQ3ZVzdIVMzelYxB3dFfUxECunEtiFMIONsk7vfa5UJYl9957L29605va14wxvOpVr+IjH/nIjmte+tKX8pu/+Zv8+Z//ObfccguPPPIIf/iHf8j3fd/3Pe3rdklBhw5fZrhw4QIAu3fvnnn9t37rt/jN3/xN9u/fz2te8xp+5md+5pLVgqIoKIqi/fva2hoA/XMRbwTIqA8VlD0HxmJq1QxQ0yLdoIxMHAPz9Uj/jKGIGQ/l+7h2/xlefOAof1FeQxH6RKuT/8oAcOpwGFXBz40j9qke97uD/EdeytevPMjrlx/hZLnIh+wNHLXLFHUfkKR2a1U50UCwhv4ZiMYxLoc8WBteed0RPmEPcdotUMQc43VziZJO1CT3QaC3HrQSUQvRZlT7K6pBQJMf3bCjAQm6USdbBAgRO67J1wxgCVYol6DYFdWpETPZCBO9sFkHQIy4zaoVUaqGQrFskJDcHJtrNFUNaNsQMUZMEorCT+iK0ZJYInHS7pCp6kR6DykrrfpM0xVz134e7fViJJZpXYgTa+NKtQiMiNIVB5lKIk9VUXZqCQCzts0+KF0RZtfBzLrGKOtKoYoW8zlmCpp/Kw16vR69Xu+inz99+jTee/bt2zfz+r59+3jwwQd3vPb3fM/3cPr0aV7+8pcTY6Sua37kR36En/zJn3za998lBR06fBkhhMCP//iP87KXvYwXvOAF7evf8z3fwzXXXMPBgwe57777eMMb3sBDDz3E7/7u7+74Pm95y1t485vffNHrvfOBgPLwR/SolwLVoRJirsp8+WTTmu635xsBf1pa2uEj41VOrQx5+fVH+LPsWkZzA0JuUUGjRpgInAi2jAxOGkb0ub86pBWCcpHX7/lTnj93lPcOX8y9XM3I6YxBSH374ATxkf5ZLS/bsXoy3CM3cN3eM+y7bp0H3H5G0qfuq/BQo2YYRwYrkK17JIAt1TBJfEa1NCWJnEuyi9bN2Tk1a7KAKXWosC37l0K1IIxW40RKObUQnDPgTPI3SG2FrTLRFSO21OpCsagzFK1dsxGdMWCSFEgIkKSdpQ5t5cUPDOWyLnTNOplyV0wzBq2CY5J2nqYrOhFNmBrbZRGdaUgzBsQ4kXaOEWqPCYEwl6kkcrOOi1sCwCx9tDE/6mXJdvnSswk8w1P6XwafLyk4fPjwzOt33nknP/dzP3dZrv3BD36QX/iFX+BXf/VXufXWW3n44Yf5sR/7MX7+53+en/mZn3la79ElBR06fBnhR3/0R7n//vv50Ic+NPP6P/yH/7D989/6W3+LAwcO8Lf/9t/myJEj3HDDDRe9z5ve9CbuuOOO9u9ra2scPnwYtxnABaXg9fTEW4ml3OMhqoOeeOX9Nyp21AE7juQbeur2fSFKxnqc58hghX1L65wygVGYxxR6nI1iMN6mnn8kX9MyfpFlnGSJD9kbeP7cUZbtJt+x92OcGs3zmF+hNBkSGjVCgxsHsq2QEgXduEdzA55wy+yZ3+LwvnM8VqwQJUOiYEpURz/tOG48URUMWZJExlA6R7XLo6JF2roQb4jiyNA2AD5iCw9W2nUAdV+HHAsz9awa1Mr5xwekqKfcFR1ZJvhMLaHL+YkroxW0dREbjwXfWi8LqifhUiWGPtTzyV0xVQPMdEsgRm0FNM6Jxkwkka0qR0L6+7Z1ZA1lcZu0swhiLdEY6E0kkZvBytYlMSbb5WlJZGsg6Ud8LndFsVeuUvD52gdPPPHEDCVxpyoBwMrKCtZaTpw4MfP6iRMnLtnm+5mf+Rm+7/u+jx/6oR8C9N/y5uYm//Af/kN+6qd+Sod0Pw+6pKBDhy8T3H777fzBH/wB99xzD1ddddXn/Nlbb70VgIcffnjHpOBSJU839ogLOoWfkU5olvpQQbWkG5+pp5z/okW8w5SBbBPU3TAN5EXHk71dPO/qp8iWPY/Xam4kQTdwUxsV9ImQb0R8ruX6MuQctcv83txX8O2rH+el/ce4f+8jbJY5p1mkrHXGQK9v6J+pklWynqd937BlhoRgeMlVj3F2ZcA6QyRmOpsQACwE6J0rcMmVMHfanpAoIJbqqpLap5jLpvUBEh1SBexWBUWljr+2mT9Q86NiF/gB21wSQXzqoRcVMi4xzWYXtUKeW6EaGqphkkQOquQoIbaSwlIAo3G7eRoRGKe+RrSUSw7Tb7j/sS3dC9oGiYmyKICYuk2KjEC9kE8Sg6Qh0LYSQoSQKJKpctK8b+OuGJ1pJZFn1pFaAfXkehe5K+YZMbjZ2YT05ytZKagvUSloBg0XFxeflk5BnufcfPPN3HXXXXzbt30boJW+u+66i9tvv33HNVtbWxdt/NYmFcmnKUnUJQUdOvwNR4yR17/+9fze7/0eH/zgB7nuuus+75pPfOITABw4cOAZXatxSdQBNYspdUMc0aNarSiHnmgziELIDHkq5WcbNab0iI9EcZgK3FgYhR6fCgdZXb3AK649wt3hRka9vm48ol9+2ZbqEABpwE8o6j4f5zBnxkMe2HuQf7n6P9ntNvnA8CYezPYzTrRDgIXHKjVkKq1uwGIwlaPcGvKR6npuvfazHB0u8Xhvt9IVbZO4WAZP1UjllSWBMhVMaXQuQHLKlZr6YM0IpWiGbEJXtJslslVg05yC8RN3ReOTu+Kqlr6DmzwrRNRNcS2d9H1AvNcyOUl9sTKM9xiCU3fFZk9sWAKsrWty0Ugig27ElV6/WlCRpSy1L9qWgAiMx1BP/AYkiQg1cYSBox6mGYMkvtRu3sETx3V78m8lkZlyV5zLJ5TR6ZZACZRJe+ES0s5x0NuZrnglrZPjzkOF4entyTO44447eN3rXsdXfdVXccstt/C2t72Nzc3Nlo3w/d///Rw6dIi3vOUtALzmNa/hrW99K1/xFV/Rtg9+5md+hte85jVtcvD50CUFHTr8DceP/uiP8q53vYv3vve9LCwscPz4cQCWlpYYDAYcOXKEd73rXXzzN38ze/bs4b777uMnfuIneMUrXsELX/jCZ3QtM6oxVGToF7mW942aI5FRzweq/YmumKWTdbAq2FNqvTta/RJXzwRhZHJOVLsYlRkvOHSMB7N9ydxI6Yq29LiNKs2S6TqJwpbr85hfYbPM2e02efnwIa7JT/Nb5lY+UR8muBxTGcyo0oG8iJ64LRANUhvG0ufe7DB7Fzd47uHjfLI+SJQ8lft1wl/KqAOIzVBfAIm6IRMc1WKk2q90Ra1maMz9E4JU2m83Vl0ZCUziqDWOchmiE6JL9EjAFG4i7Qzt4GYj7SzaraHuC+OlZIQUE12RtAE3JfhpSeSpOHxviq4oYGxySQxxIu08RSuNMImjZ6mHF9MVKQoVGIJZn4JtccTcXUxX9L6lN0JDkdxZEvkiumK4clvdpSsFzzwx+e7v/m5OnTrFz/7sz3L8+HFe/OIX8/73v78dPnz88cdnKgM//dM/jYjw0z/90xw9epS9e/fymte8hn/1r/7V075mlxR06PA3HL/2a78GqEDRNH7913+dH/iBHyDPc/7kT/6kPYUcPnyY7/zO7+Snf/qnn/nFygpja7CCGzWSs+o02FgJV4NAtaTUPe3TG4YxIoXHihBbd0GbXBIFxLFmhmwtrrF7fouzwLiYxxSG/jnBFp44agbzDNFC3hdKk3GaRf5k7jlck59m2W7yjSuf4qnNRY6HZcrNHlLWM1+sIRfVRUCIzjAaDDhjAnNZycredU7XSyBKVySkaXpUNMg5ARxR1N2xGaos54R6IcXsBVume93BXTE6mYmj7qsWQbmoz0o8ZGsWE5T3nx4xWBUtanZNjSNRHYep1YJDfMS0fg2pDVCZVqhoJg47RVdEhwrbPj18TnfFmJmL6IqIUUpmMx/QvHFqCzRxRJOcKafoiqoiuYO74lSC08SBmaUrXsmkwEfB71Ap2Om1p4Pbb7/9ku2CD37wgzN/d85x5513cuedd35B14IuKejQ4W88Pl8v8fDhwxepGX6hkKoCU2JQZoD6BziCTYI+tW429VUFpXMgNm2uUWVvY9TTbHNqFrUvNl4oQsZneqvceOAU+/etcV91iKKcoz4uyKjCJmEinaa3yi4IhrLO+XS2j9+yt/KNK5/iB5c+y6P79/IhuZ6n1vciRdVO2QNkrjlNC4ghZJaRn+eRyvLK645wbxDO2QUKn+kwXVVPevMiLc2vYQ4YL2Ac5cGSKlPHRFsqCyHWXkvdInrSDewYR7mkXg+m0ph6fasn7mYjhXZoUE/NkziqOaUrmlqTFFOFyaYewyylryn5T8VRLDuQ1JaPadPY6bSf3mc6jnoug8xoK8FHnYEIceKumN4jTlUKmjhi7gg9p3RFQCqXqgrJtjlMxcEOMwa9vPVxkCtonVxHi9nhel9IpeCvAl1S0KFDh8uHokJiOelTN+ZAMVMb48IgdZox2OWpripBcqI1qvPvAxZagSGJOu1vC9JsQp9PF/tZ3LPJK69/mP9mr6d8cgEZFxgg81EFjpKnkC11xmAc+3yiPsyxjSUePbCXN678Ke8dHOOt47+tWvqJHmebYbx66n0auuJoyN3cwLP3n2L/wjoPujQBXpTJAClN+Feu1TOQJmYvEHOqZaUrbtEj9By2rokx6NR8CC3NL/Mp/iaOKs0Y7FMr5f55R1ZN9eZ9mJyKLxFHsax0RYmOrPEIsHamBD8dB3XWxlHPWfyyUzVEGgGmba6EMQ0HbovD9yzVYk4GmPOOGdvlEIjB7hyHD5jgWrqi1F6TmNQeam2X29kEc1EcsZcRraUVTLgCiAhTNZCZ178U0CUFHTp0uGxoXezSgFlTlHc2ldIjSYFPAEvthXKP11N13XDodMDMxIgz0vb4EYPvCdFkrIV57u/t59DuCzw1v6AqeQ09Lkalx6V2BTGV0l3OibDEh8z1vHdwjP3uArceeJyj9XDS02YiTARo6yNL8+xRGPUHPJrtZtdwxDUHzgCuncQnaQg0J13nktVyRCmamUDUiYtqt9dBvqaMLxNFvxman+GiOOqBqhfivQ7VNc9+mubXxJH+Ei2EzBKc0hXn4oSNoJWCqRmDFEf72aU4fE+ohpa+0crOjrbLDSthexwi+L7DOdtaJreWx9taCdvjMCa5RGaT7eoi2+XPEYe2Eq6cdXId7I6VifoKViv+MuiSgg4dOlw+LC8QbaIqJrqchIAd64ZvKqPT8bXFbQrVomW0GiiXc+z+PW0JP1pJhkUBOwqJL69Di24klGsZJzf30rtqg5BDcd3e9lTbKBWKj7hxmtwTvXa10eOp9b28dfy3ufXA45wrB4y+4hpMGTBTdsfRitIHfSTbCkhQYSWJlmK0yNHlORZXN9h93ZDe0pxO7qfrx+TxID5gxz4xMfTe7UioNi2jfYFySegfPqC2xVOqgVgDQYcYzQgyEUytFQdTGYpdOqxoDu7Xgb/psfZWzTAgZa0iSVVIzIZINaezDHbvSpuENe2lxrNApY51szfNyb0O2J6lmnfI/FBbDNNWyc21Q9TEoPFdiFGHMasMP8yJzmLnhxe1tFqr5hBnBIqaqgO9XC8xN8eMVTJM7JJD0OcRwwyzAWfBXCGNYy6fzPFfFbqkoEOHDpcNT7xmlcG4R/98JL/gkzVvhdmqyM5vkier3PltlreP/OQLKVfnyE45BickWR4HtS7eqMkujDHjmsUp6+JY6Xscfd3zueZ//zT3PHIj4WSf/JxKF/fPqjBR/0zFwmOVWh9PWTcfrYeMvuIa/us7/h9+4fRN3H3qWRw5vhfzRJ/eWSFbi20c/dMah93UtVLV4AP1O9fZqHKOnVzGPdmjf0bI1iO9C5HeBY/brOmdLRg8WbaWv5QVsap47Idv4ui3zJM9lTM4mdatR/ILNW6zxo5r7GaJO71+Uczli2/g4X9woH1W2WaYtXlOds2yvgV1jakqsrrWE/ncgGP/3xsn69Y9br3CjGtM0j+gVHvpWNdIsmu23pOFwMarXqiqkpte7aHH6nw4bdccqwpGoxnbZRMiPPs6xrc8i2yjwmyVrV0z03bNVU0cF0msyLc2yLK0SPhbN2A2ys9t11xebLvsQ/H5f3kvE+pokB1klesrKLX8l0GXFHTo0OGyITgYr0jLHohOiKkP3VrlkobEpuRo+6dFnQYPlEhQyl90ky9R57RyMOMYiJaM87XIXxw/zM3XPM59+UFG/TmiSe6KTifwJTKhx8lkWt6UgV84fRN/Z/ET3Ng/zrvzl/AxfzXB5fjcXBSHRJBUxcB7PvPkLq4+cJYXXHOM+8MhRiaf0A6jqgtGp/E30/lNabx3PjJay6gPlozICbnSDonJXdEZXON5kOyam5hN4emdEYrd2t4I2dSzsuaSz0pEjYl65wL1nOCziceCtVrhaCWRp6ytm7kDUE2JcslRLloImUoiW5mVRK6qicvhtEtiWWHHfkJXbOyamVQqIlzsrhj0eZutkjjIwBkoLi2J/FfpkthVCjp06NAhwRZAr1Hig6YX3gwNAhPBmrIiGgtW7Y/duqHKjdIVY6IrVgbjoZHcpdYBtogOI0qMZKPI6dNDziwMJ3TFaogdW9JMPra07abQDBUKWh6/+9SzuLF/nEUz5ptW7uepzUWO+V2UZHr9cjaOxiVRCpCzOafmh2TWs7p6gRPVLqUresGWNKID6k/QlLvTIJzbUlfJsm+oF0O6xjaXRB9nY07lfFMH8vWIn6YrVhNpY9Kg4PZnFdEfyLaiJkxO5xNsFSH1vKVOSoQF4FSYqGEFNAmJLTRx8QPbfq7i48XSxkxt1IDUXumjmSHmhoCb+Tx2XBdCm7hIUROtndAVpwYTI8xKG8tfjUtiHUxSkrz49S8FdElBhw4dLht6F2KqFiS3P504a5X6LOiXcyNjawwxBrKNSO+sSvLWVxVUkqHKgpI8A4BokXqae659YzcOZKczHumvcNOhE+webPFgbSjGw1aIx1SzJ8V2gw5w5Phe3p2/hG9auZ/vWniUT+/bzz3xBk6YJcq6t3McqQfeO2MY5fM8Xltece0RRmXGmhlShAyT/BVIfg+S3A4lTdlnW4HeOQvGUR0qqazSFU0p7RyEBJWBbt0VfUgbfkoKMhU3qhZon1WzuyoddPZZNQN42XpNNI5qzsxKKRulkdqpjVmC0hZVR6DGjiqt4iRJ5Pa5xslz1XVu1rWwsV1O9NF6LkP60iY57bppaeMQidaq1HLQRLKRRG7pio2UMsxIG2sSdeVdEpVNuxP74EsDXVLQoUOHy4be+ZDoasJ4D3qSTep/OgFvcKlEzZQcbe+Cx/cEWwpb9Kh2T9MVBb8+cQyMVrCFbR0D7SgwOO4YxT4PlAdZ3rPBK687wj1yA6O5Ab5vaISAQi4tf79hGZgn+nzMX81Tm4t8et9+7tz75/xm/yTvHz6f+9xVjETdFX0+G4d1hv6ZqJvj1pC7w4284NAxthbX+ExvlRHNuqS3IOBGBmsEC2SbgcFp9YIg5lS7Ju6K0alLYrCa1LhRagmAbtwhtNLOM3RFI/jc0HNTz2o8aZmQdAKyjSTtXFhMbRjvUs+FPGsyChUxMk27x5jJAGChCpCNtHM9tBQ9R97oMjQtgWSF3LgrCkBdz9BHfd9N6Irj2ZYA3rTuijHF3Zo4NZLI87m6K5b2r41LYh2Mtjt2ev1LAF1S0KFDh8uGbNODVbfD4JLb365GtMiSNbK1Pib/If27HQfydS2h+4auuCCUqzUElwyLlPdPmu4nKp/e1JH8QtSevGSc9wt8wh7iur1neMIts2WHmCrNGNh0kqyjsgyt0DurdMVjfhf3xBv4jd4pntU7zvfu32DsMx6sDlA4teedjgMgX49JzlkY5QMezPaxa36LZx08yUPFAaLJVDDI64xB07CXEDGlxhxliq7oM6qVGnAqvhTBJHfFKIKLSf9BBLdZT+iKQWcXqvlEYZT0rNLPAjpjUFaID5hxPRGJEp1L8BkUi6ldw5QkcsMkSJ9drGpNyFCL5ZauOJ8kkY1oZaOZ/p8SRlI2QqKsNnRFwA80PiNTMw3VZJ2ke4n1RKCIGFu6IjLlrgizFYqkYXCl0M0UdOjQoUOC2/LgfDqVG0rRjapakCTEYxBv1SWwWeQ9pvS4LR168z2TqHWGar6mWmxKySoPLJHUSlCqnPhIvhnxPVLy4DjtFth33Tp75rcIwVBuDpFatxvjBVM2GyZkaxGfG0oyTpgl/n/D57F7/wY3ZKf4ur0PcXprqO6KIceNp+IIETeKrSRy6BlGvTkADuxbY3HPJmthHqLDlmqfDDrbYEqlCLqtybOKojGX8556XhMkU6m0cbPLmcpBagvYcY1rJaGNSkKvqFlTtbBtNiGkZwXEqlZpZ5kkBVkuxHmD76kkstIrk3hUU9ovAOcmdEXQgb/0zKt5SVUZEq0xtD1+Gm8C0BbCNknkaiGfzBgkSeR2C/VNqydONDBIYZc2CRTJrLsiqZVgk8ujXLkN2V9ipsB3lYIOHTp8ucGOKkyadosCUicFw1Tajg6ajREr6l/jI7ZI9rzB6cnba48ccuqDJWXfgHGYWpXs2oNfOo3ma55oLBJ0XRFzHnD7ObzvHC+56jE+Ul3PWPo6pS/qH9DoEPTPx1bHoKx73OeuYuwzvm7vQ/yvu4+w4fvck9/I424347o/E0fvvFf53lrfFxzjYp77qkO88vqHub+3nxPZMmO1VVQ2guiJ2m3WZFUSEJqKOdqMal9FNfRAhvgkiWxV+jgDTFEjowpnm8qLziMgUC4J4z3awolG2ybNszLpNC6jQk/yQQf19L1VEnm8Wyl1TbuGEHWGojmhp2oDaUZCEwCVRC6XnDJHmmoIaIUhVYRiXbctgDZZCOCs4AeOMJfcFacqDLpOJhTW5ppJwtjEqJLIc7nKEchE/KhpO1xRl8RLKBru9NpfR3RJQYcOHS4bzKjCUranQlNrzxsxVAsw6knbCohOlD6HbnK2Dqr3L4LxBlvqNP6InHoxUB0qISpdMUyZDdkikK1XaSOymEr9BkbS57HxXs7uHXDrtZ/l3uww47kB0Vn0ZC1kW4H8gkcH/HRTHkmfB6sDnN4asuH7fP/yR3lu/xi/O/hK7o1XM3L9lnY4fKpOVsnpFBwNpjAU5Rz3mBu4as95XnDdUe43BxmZHr6nBkUSnWoRbE4/q8a6WRCfUS1G6kM6YxDSOtCkKT8fcec3tdTuI1KFtAOm+EthvBIvelbOGhgJ9sJGO/BoYlSfijrqMweqeaHuSUNImMwmADIaT07+jbtiYiwA+IGhXNatxRnR2YSGrug9sa4mbIQYW0lkaSSR5zOlYm6jK8YQieOiTSZad8WpOOIg08qF3UZXjFdO0bCrFHTo0KFDg7JCbI2xkw0fsdTriQKXQbmkngQtzc87zLjClDUYHcaLolPtPmskkQ2Vs1S7lK4YRcvxupFGTFGnYTwANVGq+0IUx7oMOTpcYu/iBmdMYFTPK10x6ixA/7RP1s5aivc9oXDqrnhPfiPP7R9jwY74lpX/wfHNRZ6od1OaDOONtkGqADjyrJFWVk2D0bDPcbfA6uIGB1fPc7TYA+KQKNgC5kS0jN88q1Ti9q2jJJQ9R50cJUFpnuIN2ZaZlXYGlQLeFkdDV2yeFegJ3k67K6YNWP/SxKEaC+V8ois2W0ViJrRyxtPuilZSO0OgrwOIouIISZEyIONiYruc9BO0+7Etjh3oipL8Gi7priiidEVjLqIrcgUlhruZgg4dOnRIkFQeNlM9Y0Cn4UU3qGJ3pCyaL0il+WWndQjOANEaMvQ0HW0j6JOGD68qqMKErmhqQ7YhWqEw0nLRolhCDhIFiRmP93bz3MPHmc8LjtRqbqSbrGC3qtaXoRl0jMZQ+ZzH7W7e07+Zb937Cf4/w8d4cPUgH/CWk2aRsuphqgC1ntKjgdyqiyEihJ5lS4Y85Q23Xf1Z1sY91mWIxAw71kG7i55VtPqsjM5QIJbqqpJa5Z8whdIO8wtGN0tTt5uuFWbjyIRiF1TzILU+K0BnGRq/BkgbenP9SRzV0FDOC2XZuiCo7XI6mc+4EjbuikaHHhu6YmPoRNAqgRgzcTasZeKuaCazAlagXshb6WPbzDQkxcKmLSBwsbtioivG3CWXx/T+VzIpCGbHqkDoKgUdOnT4ssO0S2Li00vi9ou32FI389FqnKH5DZ5g1iXRh1QSzyAm3f8yuSuu1JSHaqLJQYT+eYOMitZdceJS6DAl2LEwin0+WR9k98o6r7j2CHfHGxj1B0iw2M1Sp/wr1+oQmFpwY2Hs+3wsXs3JrQUeXD3Iz69+ggP5Bf54+Fw+aQ+osNBWoRtejErzK23agA2mdJSbQz5U38DN1zzOmYUhj/RXGMU+PjPk423PKtH8JKSYa52rKFd820qIVuitOfpF0eoI4H2rLaA+B5M4qkRXRJLyYXT06nrGH0BIJ/ntcVSG8W5tteSpeuFILIAdXAkNzMRRzVv8NF3xgp21XZ52V4xR40geEmHgqBcynTEYJZfEadvlNFS4UxwtXTGpaEJ1uX/TLwmP7EiBnJJn+muNLino0KHDZUOsa1pZveS01wyyAWkaXjcZ34Nit/b/owhSVTPrCNqTVsof2jZwOulezweq1Up7708Z9QZI3Phmc4xWB8wkKE0vSs7Zeol7o/Ds/ad4NNtNMVpMLY/pdQBqNxyNEFyPJ/xuPuAtB/ILvGjwGAcPnOM/hJcT2KXa/emkbEWHAYlKKSTqyX5s+9yXH2T3/BY3HTrBA+VBQs9MnCGnn1Wi+bXPyglEqzLQ+yogY+6k6Gm9rFrzoSgqNyyqnjMbhwjVgj4H8Yb5aVdCmKX5pTiI+h+D0zbEeEnbPX2Y2tjryQbfuCumDTpO0RXLBR2uzKy92HYZNI4m/uk4fKSeU0lkKWtmbJdbCeZLxxEzC8YQr6R1chTiDknBTq/9dUSXFHTo0OHyIYTZfjP6pW3Hk555QzssRajnoFzQcnnLQbeGKFUaD5jyQBBd13Dzq6HXYby+TqZLZaZK0EJs6XraSlALZMc5u8D+hXV2DUccXZ6b9ObTupCZpENgiA58LpQm46RZ5I+Hz+XggXPsd+f5ur0PcRdfDVXdCgOZ9D7OCHlqQ4AO+40Gc5yTyO7BFrtW1vG95Us/q0TziwYVbkqDguU8mhAl62SMEIOoQdA2mt/2OEZpWLGaF/2cmGyoMzS/Jo7U8M9zoTBGqY7D5IfQKEKKTFoJoJ4FO8QRnFAPrA55NrbLyfBIZwpELZPh4jhym6yTP7/tcqNg2cQRjYpfxfzKbXU+CIQdKgU7vPbXEV1S0KFDh8sH70ECUYJuVDChrpHK+6lv3dAVx3sjMbOJeuZblcOYhHqcqPSuBNtWDWypswLlwZJqvqeT7w3/PaEV5wk6YwCJrhgyHnT7uebAGRZXN5QH773y8AGbkhAJkWZo0XhDWfX4pD3Afwgv5+v2PsQPLf1P/iR7qS5KEr6mrNvrZ1avb2pRuqI4RuU8DxQZL7/+CA/M7YIUp/iASDo9G6Mnda8VhxmKpsko91eUS6lHHuLk1F57RKoZml9LV4waR7kklEuk3n9IyYCf9ObRTbllC4SYJKYd1ZxQLBuwk/58u6nDzIzBzGdeRyQ4imVHzKdYACHoKd77iThRM2OQaIcEcAJ+mBH62xgEITalp4tnDFL1xACxlxH6V26r6yoFHTp06JBw/tXPoV/lZOset6V2vFLWUJTYjS2sD2TeM4hRe8HoBnD8W6+n/Poleucj/XMBtxXUdnlTrYCzzYLseM1c7XUzAd0UjHDmaw7xqTuvYXDMkZ9HfRTWg97D2NM7VzB4qkaqtLYRw8Gx+7oh9TvX+cyTu5CzOb0zKl2cbaDeBOc9w6dqpArtUGFgF3fx1fxJ9lK+5dfv4US1yD0nbuSJx/aQn3Jka0LvfKR3Xn0ZBqc9C497TOWVuucjx+NhTv0AhNfu5tSTy/SOZ+RrkF+I9M8H3GZQquVaRe/kSHv9dWi9D9ZeuMID/8dz6B9z9JqYL6gNsh15tU/eKrEXRuS1Z9g8txCJ8wMee/3fIr8weVb5hRo7TutGamVsRgXmjMfV9czndfbrryfaq8k3Atmax47UqtmMSygqTQyLEja3MN4r5TFE+oB/1lWMvvnF5Gt1+9m2dtZV0iEoK9gaQVSKqknJoVlcoHjFi3Abpa4paqTQdTFpGFDXxFIdGhuWA4Dx4yv0LyBRDztKYocOHTooDXA8tG1d2pokXevThpY2tVjp5hF9IHqPqdR2ebSi57vcic4hRJKCYURqLXtTVlq+LvU93OggRBgdrPG5xfe0bC9JyMYFkMojZdRSf6VJSqxrektzbFQ5Vx84y6n5IVu9YTqdo7LGPmJKo7TDZqiwrHQDA05Ui9w2/xleMHiS/9u8gsfyFXxfJZFVIEnvIxYBGce0AVZIUWLGS/RdzbXXn+Szdi++n7Vyxz3TMBAspvI6J1d73QTLCre1W2cVDtT4vqV3XkWdEK0QZCYNa/oIpISgKLXUnqot5SLUAyE4FV1yTlS2OIkHxSRuRCM65LU1ZDyUA2G0W90KMydqu0wiThYo20Ck3ZxjU41JCVm55MiMYDOL2TKYRvmwETkKAp6p9T4NN0bq+RxTWNUxgNZjIULSSvBaZUErGYRIDJME4YuNafHG7a9/KaBLCjp06HBZ4ftQ1o2gj+oNiPctPYxEaQPaKfJ8M1IUQrkcdcYg0eqktkgdLnZXLCuiSwI5o0B23lEfKqgWG9qdtEI8RHUaFD/RxZemDx0Cx04u84JrjpFZz+O1VUnkoA1187niCIF7TtzICwZPcmv/CR5YfZg/KnOVRK5zbPG548jXhFNr89x86AnOrMyxTqIrFs2QoVV+f+WUnZCu2fgmZOec0hW9JlKmFGxyO5TolL0RUgm9aVEk6+T8QmS8R/AOquZZpUtMPytCVGljUnsgGrJNT913VENVQFShHqetoSmXxHZ3TO6KMQSk8NhxoFxymH4TU5Iinl637fdDrM4imFFNPS2JPPV5zLgrNusa++Qr6X0Qmmdy8etfCuiSgg4dOlw29C4EIpHxbv1SzHJD5pI9rkjLEBCS0lz6c77m6Z9R3YDRPjU3UgU/rTrEkcE27oqNjK3RyXe35RmcyJSuuFpRzkO0GUQdGmyodMhEXY+knCg+4p7scX84xOrqBaUrhhsZ5QNCz6RBQcgzIW6Lg9rzxGN7+L/NK3hg9WHevPeTzNsx/3XuJj6d7WMc+0lRcFscWgQgPw/rjw/5aHUtt133CE8Md/F4bzej2CdYXReNCgA5Jxhbq3AQYKvA4KSA5JQrNfXBmhFK0fR5cleMmZ78nSoRRnSgEWPon42pWqD0UKJWDNp5vKlnJVPPPALZhhoxmcow3qODn3mSNgYwZrKuWdsONZYV2bqyTKoFi+8Znb0guVZO/X5Q1+2MQPQBYlAFSBJdceg+9+9ViH8lLomJtLHj618K6JKCDh06XDZk6zWYoBS4oSr8RQPiM20lJPvfRreeVGJ2mzW9NZWHjU6oBzDe05y0rU6Qi5A17oqNpW8ImNLTO9/QHjOdzt+vdMWQqd+ABHVXdE6vaZJEL0D/jDAyOSeqXYzKjBccOsaD2b5kbuSQkDY+q/LDVlIcZU1+yvHZbIXNMmfejnnl8EGuz0/xW/ZWPlEfJrhcy/Pb44iQbUZ6pw0Fff4iu4a9ixs89/BxPlkfJEqe2BJ679Eqo0FiGsIL0DuvKpEER7UYqQ6UQN5KMDeDmdGZJH1EMl2CfN2DWKRWkaRyGaLTn5W0e7nGJTE9K0kKhHarJrPaHok2tYyWmgpFGvC0U26HacNuhiHtVtWyBBq6oiZpqorY/H5Muyu2W3pZTeiKPUs9nPo8dvi9EiPaMrmClYIYlBGy0+tfCH7lV36FX/zFX+T48eO86EUv4pd+6Ze45ZZbLvnz58+f56d+6qf43d/9Xc6ePcs111zD2972Nr75m7/5aV2vSwo6dPgbjp/7uZ/jzW9+88xrN910Ew8++CAA4/GYf/bP/hm//du/TVEUvPrVr+ZXf/VX2bdv3zO+lh17JA9Em06sTmlstrST8nQqD7dfkTFiKq+OgYmCF6zg+1AtSpI9SJLIlZu4KyYzH6kD+WYg5MmCGEM1CFRJHliiOg1qST65DFaunVbP1qOKKIljzQzZWlxj9/wWZ4FxMY8pdHuToHFImJz5sjXB9zNOyyL/de4mrs9PsWw3+caVT/HU5iLHwzIlGbYymErjkBAxlcMVkXxNN+LRcMAZE5jLSlb2rnO6XgJRAyhTouXviMoqpz5/thnwU74G5ZyhXkgx++Qo2TAH6wC1S/oPOsSpSZRpN3afKz3UlGaiRBin3BVpxKE8dqxtiJCrl0XI1F2xabW07ooxJnfFmAYdg0o7O6MJGqpa6Qe2TUbET/1+TDfoxczSR4GYqXVy6O/grtgMskIj2nBlcAn2wRdSrfid3/kd7rjjDt7+9rdz66238ra3vY1Xv/rVPPTQQ6yurl7082VZ8g3f8A2srq7ynve8h0OHDvHYY4+xvLz8tK/ZJQUdOnwZ4PnPfz5/8id/0v7duck//Z/4iZ/gfe97H//pP/0nlpaWuP322/mO7/gOPvzhDz/j69hxjdHdj2BppXJNZVremISISXS4phdsxjUuUQGbAcNqQemKUkv6ZjetUl/bm0+98mwjEKyWsFUF0FFfVVA6B2IxlagCX6LXiW/KzkLvQky0Q6Urfqa3yo0HTrF/3xr3VYcoyrlWiMfUqgjYnKJ75yPRGMo659PZPn7L3so3rnyKH1z6LI/u38uH5HqesssUdQ/x0noziAdbKmMAMYTMMqrnebS2vOLaI9wbhHN2gSJkSkUU07Y7Gj+BbMO3olDGCxinFM1MHRMbfwmtGmjPH6NDl3aUSvOJdhmcUhXL5YipNQFqDtfNs9KEQoclLUCELLVmGrqiqSdJCiG2glBNVYcYJ9LOU7TLckk/15iyDzs1myCpZUJIg6JTdEVrhXoug8zo75GPs+uaGYMrPFOwk07BFzJT8Na3vpUf/uEf5gd/8AcBePvb38773vc+3vGOd/DGN77xop9/xzvewdmzZ/nTP/1TskwpnNdee+0zumaXFHTo8GUA5xz79++/6PULFy7wH/7Df+Bd73oXX//1Xw/Ar//6r/Pc5z6XP/uzP+Orv/qrn9F1zFaJjVlbFbBVnEjlOiHrKavgIhe8ssZtpFMiat6jJ12h2A2+L/hUTg9OjXdcs8cGyNZKiBnGqzyw1EkSeZenuqoEyVWZrzexBHbOID7Qu+CRaLElSUq5z6eL/Szu2eSV1z/Mf7PXMxoOCL3kruhUmCizSj0UD7YQxrHPJ+rDPLW5yKP79/KTez/C7w2O8QfDF/Jxc5iR6au0c4oj2wzteqLBjtWT4e54A885cJL9C+s8lO9jJH2NvwdR9GTtRp5sTZMvaWL2AjGnWg7UVxVs0cPnMqkmiOBGBjOqMRslmdeKRVMVsJVQJknkaEVFk5pnZdNsgggUpbYBmo3bR0ypiU6xrNLVodlZjChTILV7qBL9sJV2ztrPvB6qJHLT1tnukkhdE6elnZO7Yta4Ky7mais9NlDamXXEKydzTJSdqwLptbW1tZmXe70evV7voh8vy5J7772XN73pTe1rxhhe9apX8ZGPfGTHS//n//yfue222/jRH/1R3vve97J3716+53u+hze84Q1Y+/SqJV1S0KHDlwE+85nPcPDgQfr9PrfddhtvectbuPrqq7n33nupqopXvepV7c8+5znP4eqrr+YjH/nIM04KJLkkWkmUwvQVEzItTzdUQaljS1s0PrROeEZENyCACNGadm25nGyYkwugxExPzXXAjGqcNa0hUDSNu6Kl9kK5UkNw7X8XrzMGduxxm7VWl6P6FSilMWMtzHN/bz+Hdl/guA1syRBTOi0PG618uLGe9IkaY3A5x8MyH5Lr+b3BMfa7C/zdfX/BetnnM/U+CpsBBlsJ2YYOSSKN2qJuJqP+gCPZHnYNR1x/4DQPj/cRJVP53wokWjU1Ol9odUW0xx6tmjkRDRUZ1W61hI5W2QzGq/tkFsCe32pdCTG0KpFNHPWANKw4cVdU46WA3Rq37ADbKB+mKlDILMFBuWC07ROiihpGrQ6J96pl0Egip9+bJg7fE6qhSiK3ycF0SyBRSdshxil3RUTwfafPKdFgm3USrqB4kc5E7vg6wOHDh2dev/POO/m5n/u5i37+9OnTeO8vauPt27evbf1txyOPPMIHPvABvvd7v5c//MM/5OGHH+af/JN/QlVV3HnnnU/r/rukoEOHv+G49dZbeec738lNN93EU089xZvf/Ga+5mu+hvvvv5/jx4+T5/lFPcd9+/Zx/PjxS75nURQURdH+vT39VDViqrThTtz1skwoFpNU7pxgqrTRJJqfbBVQ6skPN5ErDk7lestFoVxklq7obdtjN+MaxpOTbTQQ8uZ9DPXBmmoxVSG86Mk66R/0zhbJU4E0vU9KHhwnsmWed+0xVhc3eMobpSt6nTEwtTA47SceBTkEZyjJeMou8wfDF/J39/0Fz8+P8zV7H+bceKB0Ra90xeFTYEc1CGTJHhoE37dsZUNiFF544BgnVjZZj/MQndIVPWSbgikqfVYGiJZg9VlJ1HZDeaikXtD3teWkhWO8Ja8mroRGSNbNKY5Mhzx9T2c6ttMV7XTvvrRaPUgqlVkulPNG50GGogOeRtsUUgdkJBM56ySJ3H7m+gfKBcH3GzrpFF0xGT9RT9gM0+6KRqCe35mueCWtkz+fouETTzzB4uJi+/pOVYIvFCEEVldX+Xf/7t9hreXmm2/m6NGj/OIv/mKXFHTo0EHxTd/0Te2fX/jCF3LrrbdyzTXX8O53v5vBYPAFvedb3vKWi4YXARX1kaqVmMXHtjwsAao5Q7FLN+ToaPXr3cZY1zbyuGHitAdgKtPSFaNrytM6vGhKj4wKlUSOEamdngxFkLppCeRU+yvKOe29ixei1c1u8GSJQ6sXah5kMV6llMch51PmAAdXz3Pb1Z/lQ/UNjG0/JRyGhce9ChPVtr0fWxmKqsfHzWHWyz5fs/dhfnpFT3b/rX8jD7u9jEOf+DDYrTKZAOmJ3NT6vhIcxWiee8urefn1R/hMfy/HesuMQw9EyDcMMi4nz6q6+FkhOeVqTTX0QNbSDgEGZaUDnyFggm4EErKZOKpFYbwS22fVHLazoOJTzaS/SSJH0ro0WqrUMooiqQqBflbrI20D0MwZxNnPvE4zBosWnytdUZr/nkSMdJOPE0nkbXH4uQzf0BVBk4a4TSL5i4gYL8E+SEnB4uLiTFJwKaysrGCt5cSJEzOvnzhxYsdWIMCBAwfIsmymVfDc5z6X48ePU5YleZ5/3ut2SUGHDl9mWF5e5tnPfjYPP/ww3/AN30BZlpw/f36mWvC5vngA3vSmN3HHHXe0f19bW+Pw4cPEuiampECg3TDaVkEdkWj0NJjZ1lLXnYhQJd3+xmnPT6b8TQ3itT1QDcGvNMOHlmzdqrphU46eGsYTb1TQRwTIqBcC5cESolL3JBjtkYtgkzBQFC3RN3S9kelxtNjD2rjHzdc8zn35QUaDOWUHVB4ZJXvodD+mQmcarLYMzo018fr2xY/z7P5TvDt/CR8LVxOyDBmVKgMsqcRfN14DBlMaCt/nI+5aDuxa4wXXHOP+eJCR6dE7ayYxb39WPj0rKy1dsT5YMiInpJhjXU828rR5toyBbXGM96TWSKYJxRzoxp5UCxs2yUwclcZRzzUzDXpv7oxNBkb1lIbAts88JRe+bygXLQTVW3CVn7VdhklysS0OP01XtJZ4Ba2TL5dQQZ7n3Hzzzdx1111827d9G6CVgLvuuovbb799xzUve9nLeNe73kUIoTXn+vSnP82BAweeVkIAXVLQocOXHTY2Njhy5Ajf933fx80330yWZdx1111853d+JwAPPfQQjz/+OLfddtsl3+NSw1H4Ou1K0rILAIwzyl9P3Hmfq35AS1cU2dEx0FjR0jb6gtIcVdinXNQe+yC3rUtibKbkjQr+RHHtOp9K9FVmqZYDRIPbkhmam0nDeA1LoKHrRXGsy5AzC0N2z29xTiKjcl5L4mWaoRiZluaH0eHIwmacZpH/1r+RZ/efYtGM+Za99/HU5iI+X9Vrp41L4chyQ3D6BKJVuuJJGzBLkX2rFzhe7qYeZpOYp59VpglQlAm1E6DsG+pFpSvasUw218a0ytq2N79THL593umzaHwFkvWzwCQOmY5DJrTUKoKzk2vLlLti+uwuisNM6Ip2y6n2wKXcFbfHkZm2lRDrK7jVfZ5Bw2eCO+64g9e97nV81Vd9Fbfccgtve9vb2NzcbNkI3//938+hQ4d4y1veAsA//sf/mF/+5V/mx37sx3j961/PZz7zGX7hF36Bf/pP/+nTvmaXFHTo8Dcc//yf/3Ne85rXcM0113Ds2DHuvPNOrLW89rWvZWlpiX/wD/4Bd9xxB7t372ZxcZHXv/713Hbbbc94yBCS8pzUrbc9pA3LTAbiMLpRlPOGaqjl7mhkUlZuRGvQTRpj2tNjz2mFoFrQ0rapEqOg6VMn0RptsxsyQKJTuqJBJ/Sx1FcVOoy3qVWGhuYmMWrykm4gig7OSVRXxkf6K9x06AS7B1s8UGRalRhXSo8TZmh+PmkmlD7nYbeXd+cv4Vv23se3zz/GA/sO8oH+vtZ22VjTlt+zFKMEfWYht2zFIU8muuJWkVMu7JrEvP1ZBSDadr5CgrZMqkMllbWUIzfxoDAWMUb9HBqaX4qjmd3wmYobVQskp0Zp7Ypn3BVTHPqLoHFEoy2jJqGImZ24M6bEYtpdMTYKhVNxlEsqMe36LqkU+okYUvN717QSylQRmKIrSl8IVzQp4LJUCgC++7u/m1OnTvGzP/uzHD9+nBe/+MW8//3vb4cPH3/88bYiADrE+F/+y3/hJ37iJ3jhC1/IoUOH+LEf+zHe8IY3PO1rdklBhw5/w/Hkk0/y2te+ljNnzrB3715e/vKX82d/9mfs3bsXgH/zb/4Nxhi+8zu/c0a86AuC98RYtxuVavUnG9sQklNhQzvUocPxHpXe3V5WFh92pK5NU/DGK5Fqwc72qb3TqXdQvf8qQMyQoDRHWwpb9Kh2e0b7gvbH08/i1Z9A/QWSB0B02BLsWBjFPg+UB9m1ss7Lrz/C8XhYTYoaelwSWJqm+dmxMPZ9Phau5qnNRR7Yd5B/sfoXvH/ppcRCZwoE9NqNIJPPMGWaMcBgCke5OeTucCMvvOooH9u/NIn5omeV2hnNsyqNajfEnHK3Z3QoOQp6wEZiDBfT/FIcrS7EFF0RY/RzTp9rbMSoUhzGK8ugicMWGsd4l8HP5S0rIKaSv0Rz6TjSXEk1b6nmM/IYIGkoyHQrYXsc3uuMSYiEnqNeuIIzBZdZ0fD222+/ZLvggx/84EWv3XbbbfzZn/3ZF3QtAImNH2aHDh06fIFYW1tjaWmJr33JT5L5TCfjqzpttCkRSNK1ADirg37WEnuO8cEFlfLdUrtkqTSBEO/bUy2g660mESF3hL6jWOmxtWLpXwjYkVoO23GNKX2aL5hcO9o0NNdz+J6hXHKce7ZVm+MttUvONgOmDDr/UIfJdQ34zBB6Bt8zVHPCqa8CMxbyNVHb5s2IKyK2jKrul2472oaWKdR9oVwS1l88ZmFpxNqxBfonHW5DrYzzjYgtIqbW3rzEqHLFVtsgdV/YWhU2r/H0j1vyNb1uvhFxW2rxbMtmaK8RjNAhQ58b6jnD+Rst+YVItgn5ZiDb8NjCq0V06Vs1QlB6J1aVF0NmWb+6h4T0rNZ9+6ylrCdJX5h6bukzi7mj2tWnGjry9Ur1EtI6yiolBGH2d8Vo1SA6S+zl1LsGOpxZeKSqtTLQ2EJ7r4lGozhpBDH6u1JT8SdP/hoXLlx4WkN+f5l/A1f90psxg/5F/z2Mxjz5+ju/qPdwOdBVCjp06HDZMFrtE0KPbL1S85rmC39c6sm2rvX/22QhEH2getZXMN5lcGNL77zT5GBU6wYwUrEcqppYlBB04EyqGus99hUvYONqR7FhyS8Y8o1IvmbI1ipsobx4GZXtBhLLClvXZN7TP3yAo//LAqN1R7Ym9M5ZBqcN+UbAbQWydTXhaTaufDoOILx2N31Xc2ptnrUnhvRPGfI1oXchpERjWxxV3cZx9JUr/D8v+g3uvvE5/KfHvpLTpxYxp3Lmjhvy85F8M2KLoHGMa910Uxynvu4qnvWtj3Dk8AoXTs3jzjgGpwy9s0K+acg2VNzIjirdQMcFUlR67wtDjn7zLrY2LW7D0D9j6Z825BsWtxXI1yqMr9SyuSgxUzHbumZ08/Op58CNDP3TlnxDP69so548K+8v+szxgXjLs9k4aHEjS2/N40YBt1ljNwooa71HX7XW2tQ1sap1iHDvHkbPWcKOM9woPdfNUq2oywoq0WHV9PsRq1otl2PE+/KK/RuQIMll8+LXvxTQJQUdOnS4bIhWqOZM4htGNbiZdiVse8F122IVINvwlPOGYnlitNPQFc2UOY7EqC540Lrg2a2a/HyudMV0ogar+gFWMALWx9l5hUZJpvZkxzPqgyVl34BRv4EoaWJ+pzjSPccYOfXkMtdcd4qbDz3BR6trKWKf6BKt0KcflJ3jWDu2wN03Pof/dfcRNnyfe/IbedzuZlz3iSJEty0OIxpHjLhR5P6jB3nl9Q/zP/MDnMyWGIccCRp/FNu2W6wxrVSwJGXD/HhGub+imlO6otQqyBQTBVANKifSxtOfXe9cxPeF8Z5EVzRmYi2QZgIuelbpM7ejmmwzY7zbaNugEaoKETs1nNoMLjbtgZhaO9m6p1xy+rFIavOAVgUSEyKmte11r7BLIpeQOd7xtb+G6JKCDh06XDbkazUyH1ote5dp+Xa7014zfd6wDrKNmv551c4vliUp4yW64nZJ5MYFTwSpBTuu6Z/VjatagFFP2qn7kE3YC8ZqKVpEkBCIouI2g5OqY1AvBqpDSldUy+OJjr+z2+KokkTy8YzH7ApnVwbceu1nuTc7rJLImWY1IROyXNkA2+Pon3T8p8e+kg3f5weWP8pz+8d4T/9mPs5hRk4lkds43FQcItgyEp6c4x5zA1evnGP1uqPcbw6yZXrkfTUokqiSyK1dczPAZw39kwIhU7rioYIRPUKvsXlWjQebGb1nUKfDSu+7txYImcGUOtOhbJBtz2q87VmlDd4UNf3zOnBRzSdJ5CahMMmumUlSMJ1EEmNru+wHhnI5/Y4161JSIMZAVc0kFFfS++BL3Tu5Swo6dOhw2WDHHnFB++eDpA8QUCliJtP5eqLTEjwxYooatzmhKzbsBFOnk3I6ZM1I3jaDapVXl8TMJHdGKJdoDYF0nWtd+GjEdtDv6Ww9Jklko9P5u7VUEUXVA01tJ7MQTRyAiCe/AL6fsc6QJ+eW2bu4wRkTGPl57NimG5+No+H1uw04dXKRe/IbeW7/GAt2xLevfpyTWws86XdTmiw5M14ch6kj+XlhPDfgmPPsXdjk4Op5jhZ7QBwSBVsAWBoTKknSxBjI12NrzVzmjmpZJZEhSSl7k/QaYjt82Jy63SiQb+ha31Plw3L6WTWYflbpM1czpkCeCcEp5bOcT3RFnEoie62qtJ9zM5+AJhWqvijQV7+ERpOCcInfD+CKuiSG9L+dXv8SQJcUdOjQ4bLBFDXG1kSBctkRBwLRIt7NTNk3X9aRWk9xZY0buQldccFQD6Cqpm18mZGubVzwpA64TU+eKHDlolDsilQLzfZgMJVTmhqkL+3J5tFbj1qqj1N0xTpt5tUUN39bHBHI1zShkJjxRG8Xzz18nLms5NHaUmwN03uqu6KpdeNrXACzjYg7lfO42817+jfzrXs/wTfMfZZPrh7hA95yUhYpqx62mIqjdslZEHoXIPQMW2bIcW+47erPsjbusS5DJGaqRxChcWWUulEG1KHEaFOfWyzVVSV1TDEXKvqkCYxT9kZoFCoDduzJNvRnfS4Uu6AagtRTzwpmP/M0PCh1UIdGA7mV1kWzLCeS2OKT4BW0bIImnzPjiaZEQ1dsfz/ClCQyIMFNWlRXtFIgl02n4K8CXVLQoUOHy4bGJVFSP7ke2oktrlE/BNNw2+2krCzjSs11pumKQ1GpXKNtgMam15rkgteUl+ttjoFlkkRejdR9SaJFOqMQnWCbXnkqpecXaohKc1RJ5B7VSk0574k2Q/0QjGokTMUhxtA/ryJItlC64ifrg6zsXecV1x7h7ngDo/4A37cgevLOckPmtMydb0QGJwxj3+fjHObk1gIPrh7k51c/wYH8An88fC6fcgcYkVoJ2uhv1QH7Z1SMyJRKV/xQfQM3X/M4ZxaGPNJfYRT7qQ0C0Vi9/pYgZSC/UCtFs0h0RXLKFd+2EqLVloCaImWTlgBgt1TiuKErmlqoGrqiqPJhPuUl0Zb2QZOKzUKThQi2tDMumrmTJo/SdcldUZJWRSNnPUNXXFB3xUYd06bPtfn9UJnjK6doKIHkh3Hx618K6JKCDh06XDZIUSKSK0fcqFiReOWZKzVNv7hNjK1wj6Q/Uxhs6kMTIpLUD+uBTIkPRd0wGs39VCK2I5X8hebLN7kr9qDYrSZIjWNgFCHzUY++AXVJNCrPSzTJHMlRzweqfRXiM51vMKjBT4rDiuA2Az1RoaFghSg5p+sl7g3Ccw6c5Ei2h61sqF4MMSkVCom/H8nPR6III9fniXo3H/CW1XyNlwwe4eCBc/xHXsr99UGKLG8dJsHq2vWg9xX1ZD+2ff5Hdog9C5vcdOgED5QHiSZrZzPUnAhsmvgnlfxJdtBES7VoqPZVQEbIdIM23qYBTsHFqDTCqM+uHer02hqqFnT+QasQWrJ3buozrz0yrnQuohFIirrG5zBeUj8KiSQRKVF9C1A2wrS0c6JqaiIilAt28vthp34/RK6oS+KXOron1aFDh8uH2is9LA1/Nb1433P4nm62+OSYh07wS+K1S6GnOVNYzR2Mmun4TM14qjmDLWy7kUhy6wOQssY4gzOTqoDvGQojeKfuilIDGJ1Yr5x20Cvl2Uc3JaXcM62VcDX0rbuihOSuGGjjsEWqq4ueyEMmII5zdoH9C+vsGo6IUShG85hSR+gkmCRMBPmmti58TyhNxkmzyAeGz+HwgbPsdWt8w8oDnNyc50RYogw5ttQ4ej6Sr3nyPNk4oyf78WDAORNY7o/YtbLOOb8I0WkbpASwECBbL1OC5lT/YH0yKFgOoZ7XKoQkR8nWJbF2uPNjJKjIU8gMmdFnFR2M0pBjuZCeVVPabz7zWqmkWJNULvWZ57lQmOSiOZy0WiTqZwQg46g+FVOSyHasGgo1TjUgBpPZAalV80ATiis3UyDxEpTErn3QoUOHLztUNYjK1ppmyDBEcqsnOT2Rutb5rqWulVX7BW6aUnEjQiM6jFYuSnIRZIbmJ0U9cQyEdl20ehIuF7WVIFFmTrYYMCOwm6Ua+XitTgSrFQ5TCZBRHyooew7EplL7hK6YrVV6Ig5aogctpxch46F8H9cfOM0LDxzj3vJqCt9XwSbROPJ1FVqCdM1gKKsen3IH+I+8lG9YeYAfWX6Ep8olPmRv4Khbpqj7SBDcWHCblVL6ol4TMUTjGFXzfLqyvPK6I3zCHOK0W6CIOcanakswyBOVVmV8hOg0IQj6PtFmVAdKqr4BXHJcTCqCwZGd8VDqnIGzaeLf2zaOcgmKXTE9v4kZkviIG5VaIUqfvVZ6IEtxVENJtNRJktLSFX2A9YkkMj60n3kTR7nkEiUz0RWbylO8cjoFHfugQ4cOHRJiValLYirdNpK3oJtCPZjMGEz3qaUoVW54WhK5Du0Xqamj9p53TdH8rOBEcHWAzWriyphOiLrO6vR+NJTLam7UlNODEzIR3On12T61CMarS6F4nTGolwLVVSWQa/Uinax7J0eYssZUmZ5qg8WUmlCMpM/D432cWNnk5dcf4SPuWqUr5hYw9NZ8Sio0RluKzibQ5/76ICc353mqXOLHVz7CcwbH+IPhi7hXrmbL9XGbgtlKyUwdsaXaURMNdmwpxkPu5gauXz3DvuvWecDtZyQ6m4AYFseFPus6tEmUPiuT2hE51XKgvirRFXP1mECEgQ8z0s7ioypQTsXRzBioiuNEj8Ct2Ym0c2on2GaosI6YSlkaxaLoHEWzQxnB1gGZknbGuZnPvJ1jmbNKVzSidMWiJsYdzLu+SOhmCjp06NChQfATTf40JAaoe15T2rdM6IoGCKr5v+M6Y7CpzA3M0hV9RGqH3TRIXdPI4mrnQXBNSwCLzyLRTdEV0ynW1FarG9ZM3BVHRt0VI0kSWX+2xlGuJLqi0SqEeA+VhuFSL12P1AbfF6JkrMd5PtPfy4Fda5y0ga04xBQuDSzWSYJYrwHaSiiynBNBKwTPGRxjj9vgO/Z+jFOjeR6rV6iP95Ci1qE6AXBkrnkf7bOPBgOeyJbZM7/F1fvP8tliL1EyTClIPfENMCITmh8QnEl0RUNlMqrdia4oqQUTtbIj+gHRuBJuj6Pup5mO5aaaYYnOIMGrs2Fz4heZiiP9fmSJrrhgMIm5ago1cpp2V7zoM09x+J5Qz5k2yQv+S9MQ6a8CXVLQoUOHywZ1SUzWyVViBJDc8wwQY0tXpI/S/FJ/H5/WTdnxmjTUpxoDjjwTygWj3PihwVSRaO3EMdAkkRyANilAp9rTbEG5HCkXdKOyhZmxIG5YCTE5OkbbTP2nxOBQQbWYNAMq0apEreY/0aaZhsSb9znJbdBxrLfM865+iv1L6xz1hnJzXofxxjXGTNlDYwiZ+g2UIedJu4v/PPdivmv1Xl7Sf4IHVh/mj8qc9fm9OrthdbKfqLnIZFMWfN+wZYeEYLj50BOcWZljnSHVKNcSflL/m3lW0bbPSqJWFaqrSurFlESVKbGr/YQVkJIJI6n6I5M4xnt0pqOqBVsaTQqaz7lp98BFceRO6YrVUE2zJBhcbrHNWpi4K27/zA0tXdH0UyupuoIzBV2loEOHDh0StrskxogEpz3k7WXe+UkrIdvBJbHRIzAw2xLwyV1xt25k+TmH2ckxUGSGuqalfaXgjVZVX8BU5iKXRAM6ZV+pxLH21cEUia64r6KcB0ymJ9eiJKbBOx2MC4iPRHGYGmwhjEOPT4WD7Nt3nq+55hHu9jfi8wEyLrS3jwoTKc1PS+i2FIq6x8fNYc6Mhzyw+jBv3vtJ5u2YX3v0Ve1pfdqVECY0P0T1GYrRkI9W13LbdY/w+NxuHqtXNYnyPg15pmcVdnhWlYDklCs19cGaEblWB+paXQmThDIhYP0kDpmKo5npIAqhn6mRUYhTLokXuyuCVhZMrXTFaAU3yrAhqJfCtLsiXBxHpXGUi1bbHlw5l8ROp6BDhw4dEqIPEKcsbeOU50BysJumK5p+sj7ebseb1srU+7R0RUiKe0I1FHzfYacTiuZmzCwtTdfpoF20Qj2AYpfMWBCTrqFCPckDQJTyJ77pjWfU84FyfzUppYdJnGp/nAYdYxpqFGFkco5Xu9kqcl541VGe6D8LqfTaJik94mMazLNIrYyHLdfnsXqFPypz5u2Yrx8+wG8cupVYVpMSfPIccNJQK2lbGVIbitjnL7Jr2Lu4wd7D5zTmqbXts/JTzyqAxMTECI5qMVIdKNWlMs2JxDLNgUTd5E1T1UnUwOk4ymWoB3ra1zZROvGHeMk4xGvloO7roGo+pVion/UOn910HKmVUM53lYKniy4p6NChw2WDXdmNiY4Ytn0DNqe7RFmUcYXNHLFn8XM5YWke6efqhhgmVQEgOe6ploGrPHbDkueO3nlHNa+qefHGq9WdL7kutpbBXqmONgRM4cjWLL2+pX/eUQ11Mr588Q2YwmPqoJWFoJ4MkuSXsxBxI0N+wdBbc8ydTEp8S5a1F67gtnZjyoBNyn+N7a8beUwdyTaFfMPQO2uohxnlwi4+tn+J4apw6uuuwo2S1XId276zLSI9HxPLQKiP91if38uvPfoqfuPQrWycH/DE656lTozjiC1JdsnpmQlkWxFTB/J1oXdeKE4vcHxpHt+LyP+yQrYVsIXSKk2p1Y3m3m2hf7djQ7ZlqE6rVXS53GPteY7s8CJu7DFFslluVAhTdcYm9ogbWXo9S33WUCwZ/MDiv/ImzKiGyuuaOlkeN7de1lgfMeMat2HINjLqOdUgkOfdgIwrrQbs8LsilboxUtW4ssZsZcSexdorJ17UzRR06NChQ0J5zV6kdsioUrveqtYv/aKAotRqgE/WtqlyYGOg+NoXUS0u4TY92XqFGdWYIlkul5WunbLgFe9xIWB9IHzVczlx2xL9c4F8PeBGHrdZYbbKlq4oaxWxrDDJVjer1N7XHNzPw//gAL0zQr4eydcjvfNe7XzHNTKqcOc32zj6RaGbTjopP/B/PAeCkJ/NGZwUeucj2WZorYvd+WI2jikr4Qd//jk861sf4f6jBwlPzpGfF3oXVKkwXw/ka9viKCsoNY4nXvcsPvrjb+PNp27hQyeu56mTy7hjPfonZ+Pon5rE0Xwefvcih37tMT524irOn5knO5ExOCHka6qymF9Qgyq3UWNGFTIqdBizrolVxUM/9SzCwJCdzZg7ruuyTb3fbL1SqetRhT27MbNuoa45/+rncuIlc/RPC71zkWwrzNo8l+nzKrdm7JozH5CD+3jqG1bpnQtkW5Fs0+PWK7WlbmyXi5JYF63tsqTZCefHV+4fwSUqBZ33QYcOHb7sEJ1QDXJcIyVsrVYG0FJzMyke0cn9aIBgcJs1vm8plqfoikked7vTXuuu6HXYzW6V9C4MWqncrDehK17krjhVNo+pZTE4IRS7wfcFn03oii4zkziMQUw9EwchMjjqGB2sla4oia44TcFzl46jf9xy5PAKr7z+Ye4xNzAa9gk9pSsGJypMlOJopXtTHL3zkTefuoWf3PsR3tM/zh8NX8An7GFGpj8TR7QqMDQdBwbueeRGnnvoOAcW13go39fSFXU4UpkRbmywRhKzILkkGsPghGHrqkh9VcEWPXyeYk7qgm5kiNboOiNIuu8I5Oue/HymNtc2UTttc6+CLezOnzmaxPXPBIrliWkW6RqmsLOSyPWklRS9akFcMXSVgg4dOnRQmLHHmIAfqLENjXBNMytQTybOm15wxGupeORAlGc+TVc0MbYb+XZ3xVmXxLSpJTlgqZu+9pR7XpMQTBn15GuxXVsuT+iKjUBSG4eo5bKEQAwCXl0S64Gl9kK5UkNwreiO+B3iSLFLjORrcOHUPP8zP8DVK+c45hbZkiGmdBCTUmGcxGFE2jjcOPKhE9fznv5xDmXn+Lv7/oL1ss9nqn0UNgNMisOSGZmNwxj86R4P5yvsnt/i+gOneXi8jygZ0QimBomWxuJQUs+/aalka5CdM1Qxo9pTo6qIOgNgvNI5M3Rw08CMboUdh/Z5V3O01tCtu2IaFNz+rCJ6H/lGSLbaia6YFBOtfqgTSeTpddRwBQ2RJDJx5Nz2+pcCuqSgQ4cOlw2mSNbJcw7fs5PzWTrVCzpYhk1Og97rkFlZq3uegF+eSCI3k/ztRu6bQcS6nT6n9ritQJYJxWIjlasUuMaVcNpdkWRd3CBLtsvlomr3N3RFlfm1SBUm7opNHGWltssbkd75RFc8WLeSyCbJA6ugkNIu2zjQDTPbjLgzjpPZEqvXHWXvwibHvaHcHKpLIaLvs0MctoSnTi7zR8MX8Hf3/QXPz4/zyr2f4dx4wGkWKX2u7orh4jiiFXpnLaN8jrPACw8c48TKJutxHqLDFo0ngio1msqpMiBACOQbkfqC0hXLQzX1gkoi2zLda0TdFevYuis2n50pPflGnNAVe1AtbJNS9hc/q2ajd1ueLBfKeYPvJ7qi1+cjyTETJsOpzWzJlXVJpKsUdOjQoQOA2Sqw6PBfNZ8RncEKmICeNGXSPoBJxYCixG5ZncA3QjW0aXNWl0JjpySRG3dE9BQotfaWQXu51dCoVG6ALEvSvmmqvS3Bx9hWLfI1PW6aKrkr7lOhIy1Pq9dCE4dtqhaiAkC9C4EojbtiTnWgpJwzYBziRcWPpirX03HkG5HBKcM45NxvDnJw9Ty3Xf1ZPlTfwNj2CbnSCiVA5mbjsGXAHevxCXuY9bLPK/d+hp9ceYiAcHf/WTziVhj7/pTOwiQO8ZH+aSA6itE895ZX84rrH+bB/ipP9ZYZhx6gWgVRLBKVLWKN9ufz9UCw+qyiyan21lRDD2QQ1atC5ZcTe6NpXQQ1U8ov+PZ+yiVhvBInz8rt/KwaRoTbrFqTpiq5K0aZqFQSVfCqcWVsqkNcQUMkVbbc+fUvBXRJQYcOHS4bpFJmgQGcCDE31As5Dm1nY8wkMTACdfryrmoYlZgQlK7oI75vKBe1BO+cgDGtlr1MzSYQAnarnLQK6ogEo1K5mW0tdZ3I7IaRetdZSihMTau5X82DX5GWVhedtG0BYyXFUZGva0Jhq0bEJ6deCFSHSoi59r6zySnVZaaNw20FemfVPGfL9Dha7GFt3OPmax7nvvwgo8Ec0TTuipONzyVlwf5JYWS0ZXBuPCAgfOfix3h2/ynenb+Ej4WrCVmOz8xMHKYM9M6p5bMpDYXv82F3HQd2rfGCa45xfzzIyPRUZthqKyFanRdx6Gm9L6gPhRHEK12xPlgyIifkmlA0yo9uZPTZkyok61V7P6ZWEajxHjWTmnlW1sx85sBE2jmgwlWiVSGdadB11kqbiLQto3gldQroKgUdOnToAKhSnqnT6d4SUOGi0HOTk1KMkxkD0JOgDzpdT5JEbtwVczNxVwxAHZpWt5aLm7mC5JJojUCyXPa5yg6r654K6TRzAiRFPgBT1BNFQdFrBqeuh+WSYCoALW8bPxuHHXmclcm6Rh44s1TLIfWyBalT/7sxiaoDpgrkG3pCzvsC4liXIafm59k9v8U5iYyqeXWGTDJObRxAvh7xfaGwGadZ5O7+s3h2/ykWzZhv2XsfxzcXORZ2UZKpl0OKwxmlKwantZZoDaO5ASdtwCxF9q1e4Hi5G8SpM2TjrojON9gizHw+zVxA2bPUiyE9K1HviHSv4iPUStm0hSduNQOGmrD4fprpWEzPqqFWMvnMqT1S1On3A8CRNZ+V08/ZVio2pfcaJi2j8KWrU/Arv/Ir/OIv/iLHjx/nRS96Eb/0S7/ELbfc8nnX/fZv/zavfe1r+Tt/5+/w+7//+0/7el1S0KFDh8uH2kOa0jfWtANm1WKumygk58QwmTFI9DHS383/n70/j7LsKu+78c/e+wz33hq7uqqru7pbM4PEINmS1ZExYOw2snG0YseJAfMzehUCr23kBHo5ARKEgGDwkLBkMLGS2Jg3DiTCTsybN9g4IAwCRwFZoGChATQP3V091njvPdPevz+efc69t6taSKLVkqz9XasW9Kmzzzn73Kvaz36e5/v91gu0dcRGkU/KIo8zjeJenY7G0xpVVngrXi+eowceCcWYlAZERAhwNCY8WIvul5LG8PXnNJJFvphQ9Lc6kfZVclddSnBSz0NnJbGWGro1yrMppMGv3JVREIOSersutYjaOSOeDbklXpcMhI0Ry10X80BrKy/Yuch0q8d3CjE3wvsZDM8jWXWeZaDJq4T7olk+nfwQf3fuW/y9sQe4c36Bm9y5LKop8jJtJIpxmtbxUi5p5Z3ZxNBljEcrzcvOuJ9ulrCix1Ault4EoHaXjFdyr2lg5F1pxCpYG4qdOYURx0SdK39932NQWXRP6JFG+UyR792oYkW2BYoJyRw0bpggFNdayKqXDb4fblBWKTreRbOoMw3Sl2CaXojTWD44hUHBDTfcwL59+7j++uvZs2cP1113HZdffjl3330327ZtO+m4Bx54gF/7tV/j5S9/+RO+ZwgKAgICThlcUeBc3vwRpxRRoBgoOzE2MSen+blig+QtANZRtYfoilqdQPMrIctlnLWoohpySfSSyFu10PMSJTa9gNFa+O29TFLUZSyLHcIcMJm4JPZnndD1NqP5dXNphCssuBhlxWnQ5IouKcVMRb5T6IonUvCibkWyXEhTnYswGZi+ouda3JkvsGV2lVeefS9f5lx67TZVSwMyj7grOgQgbAmTKfpVi2/YMziwPsmd8wu8f9st/GF6mP85dgHfinY1tENnYPwhua/ORUoYNDqLyNfH+Up1Li/d9SirE6vck87Rcy1xSUykxyA9UkFVeinjwbvSpQKXkM9Ujbuii8RdUbIJCWlWovoZGoidb2L019HlwF1RMj1agg6kOTJaA7W8tkESWVWxUBnLIRfNuI4oQEf6tLoknsrywYc//GHe/OY3c9VVVwFw/fXX89nPfpaPf/zjvPOd79x0TFVVvOENb+B973sfX/nKV1haWnpC9wxBQUDA33KcddZZPPjggxuO/8qv/Aof+9jH+NEf/VG+/OUvj/zu//6//2+uv/76J34zW8GJLniA7imMUrhIj9IVa/njLINySBLZj6vd85T/Q1uO+dKCb2TTvhTgynLEXdH4gAHrUNZgIyW2yX5BVl6G1wBqtdtIG4uxkT/HCr3RRt7tb4ssXMM0P7Pck2tZCVac9jLDaKrEZwwmFPk2oStaX2pQlSFaL9H9gkjhG/O09A/E4q54vJrkG2on580f4cF4C91oTBZip9GlpXW4FCljzxKQjEPC/moLX7bn8YfpYZ6XHmRu+yq5jbijWCCLYpTVmF7dmCnpdhspcNLf0Eva3BFvZ8t4l+ctHOLubAdOx1hPO6RyIshUvytf43fKl0+coSgVxVzZXFs5oSsmx7QEcZ6qWSf163mIrLH0dNho8K4AtLdOPlES2TQmVHidCMgmB6ULoxXuWZgpyPOcW2+9lXe9613NMa01e/fu5eabbz7puPe///1s27aNN73pTXzlK195YjclBAUBAX/rccstt1DVu27g9ttv5yd+4if4h//wHzbH3vzmN/P+97+/+Xen03lS92pcEqGpO0tPmUZrjW1F2OQEumKdyq+GxtV/+LUwD2pk6RBdsfQGS33dKNihFSqTa2jPGEArkljRnxLnvqKj0Ll0v+tCLJtrpz0FmP7A+U+yC5pcyUJVTNR0PaH5JWUFVI1Dn/Nug04zJGKkKcaqhq6orFDw2oDKKozWuJ5PlyvpZZCmwohj0QQ7JlbZOt7FWk3eHUMXmmRVbJdtrIm13MPGcs+cmEN6kv85fgFz21fZHR/lx2bv5tD6OEeYpOgnqKKSTAsSzMSp10VAYVNNL5XPf37bKpNb11mxnq6Y+yDOC1KZvvYBmmnelVO+pDFeUY5Lj4EupcegE2kZq5TvPJXAYMM8UnkPNV1RWYi6BlNbZJ/wvao/vDiReVSplBR06XsMimeOdfLKysrI4TRNSdONmYwjR45QVRXz8/Mjx+fn57nrrrs2vfVXv/pV/uAP/oDbbrvtSTy4IAQFAQF/yzE3Nzfy79/4jd/g3HPP5ZWvfGVzrNPpsH379u//ZrVLonXeNti74NXd5948pxiPpUNc0bjruVqDYGgnqJTQ0qSGDYlRFOOGYlwhnDmH6ppRU6MoatwVRZPfNQZ1eU1XrGTB11WErl0Sh5326n8jO1dVgip9alsNuuvHvP6+c97oCbwTZNRkDUyugJhyISdvCV1Rl5LtUP1MMg7KN05W4LTfGReKzCXcGW3njO3HuHjnw3ytOIvMtUiXlEgwK1Au9rtpacDTlSYvU74V7aJfxeydu4t9M/dxrBzjr5JzeCDfBpkwPRozo1p8qFSgZCb9fIzbiwVeec49/E2yg0PxFH2byLvJitF3VQ69q0qe3ZmYYr6g6AhdUZXSu+DKqikbiXcBRKYWWBrMI5+Sng5VykIfdQ1xUT7m96qeR+2iqZwPzKpnTqZg9+7dI8evvfZa3vve937f911dXeUXf/EX+Q//4T8wOzv7pK8TgoKAgOcQ8jznP/2n/8S+fftkt+bxyU9+kv/0n/4T27dv54orruCaa655zGxBlmVkWdb8u979jLgk5kDsxAUPv2BXolY3TFcEn0YuCpw1jVARlW0aFals0xzY0BW97bJZiYX1ABvcFbVnOoCUIHTh0KUmm1bY2IhhUbmJXbO3ea6bD3VpRCFQaYoJ6LXqpkIr/QyVFbdDgFKEdFAKXWkv6CM6BuXkgK5oI43KRATJIHQ9VUoAI9bFskj3VIsHsjmOzna47Oz7uCU+k+zIRFObr+2aZfJ+XC7j7ip2cKQ7xrFyjDdtuZkXtx/hd6tXDYyDhj4PVTpMXgsuaXRmyLION+lzOWP2ONvOfpTb9YIsykXxmO9Ke4qmqmKKKdv0GJRtQ1K/b7+Q4wMqVbnReRQyj/6cKCDGXUOrqlClBAUn+14NzyOfEBaKdqdZp+AxFA0ffvhhJicnm+ObZQkAZmdnMcawuLg4cnxxcXHTAP7ee+/lgQce4IorrmiOWf/dj6KIu+++m3PPPfd7Pn8ICgICnkP4zGc+w9LSEv/X//V/Ncd+4Rd+gTPPPJOFhQW+9a1v8Y53vIO7776b//bf/ttJr/OhD32I973vfRt/YR1OucZKt24WHOkx8Fr+FbHQFdsRRmk537kmY9CMG+oV0MY0nHUbK6q2xsVmaJy4MY6UIJBa7Il0RRtJitlVFqWsqCSCWAP79LhWakBXxFCtOKHAxbKTxQ7uqwpJnUsTJeIBoESJsIo1NvGlBGPIZyqqRA9KF16/QStF3FU+ujBShmhJj8GqG+ehzgxzk2scnBqXhd17GRhEmMhFPkeiJAWfRUJX/KvkHM5v72farPOj27/LN8vdoAbSzyM0v7huqpQeiX6nzf6oYm5inV3zxyEalx6Ok70rVX8+3nYZTR5HFNMVVXvIdlmrxhfje82jSoVyyGbfj6Hv1cZ5GE9LHQTATzksm5sf+WOTk5MjQcHJkCQJF198MTfeeCM/8zM/I5ewlhtvvJGrr756w/kvfOEL+Zu/+ZuRY+9+97tZXV3ld37ndzZkKE6GEBQEBDyH8Ad/8Af81E/9FAsLC82xt7zlLc3/f8lLXsKOHTv48R//ce69996T7ize9a53sW/fvubfKysr7N69GxUblBroDAgLoIJagbDe+SO0QF1ElOMJKolRiU9ND4+1bmC7DINUcRGhqph8KsLFGp2mTbCAUhJgWHEzVBm1BQO6tGjf7Z+PS2pZjw1lRIyR5sTK4opS0uNdUDb21sYRutTk44p8Ctx4G+WNgAZzFgaE7pXEVtT3ROVOY/qKvCcmSmVH4ybH/X1lUaRyqNxieta77Ymqoc4VRS/mwWobs7uWqBJHNesXFq0l61A5dG6JNOCEpaCspuglPJBt4/eqV/KK+XuYjdcod88KS8PD+cVcWYfpOxJj0ZVCVQqUoZ9N8NDWlHN3HSabSWmvzYhctX92pz39tLREvVLoiv45TKYwmTeOaivUzHSTVRh+b6q0oErpA/ENhrqU5kvJ7ICenBj9Itbv3DlxvfQNkKq0IljkoGxrymTTr/FTgjpLtdnxJ4p9+/Zx5ZVXcskll3DppZdy3XXXsb6+3rAR3vjGN7Jz504+9KEP0Wq1ePGLXzwyfnp6GmDD8cdCCAoCAp4jePDBB/nCF77wmBkAgD179gBwzz33nDQoOFlzFOediSr1wCq4qhqrYJfloklgrXeuA5zFWEd5yQVUz9+OWS/Q3UJ2kEXZWAWT57BW4QoJELS1qMoSOYt64Xks/8QLSJdK6ej31r30vIVurw8rq2hveayririq6DiHmZtl/z84d2DHu1oSrxXoftnQFc3yGqYsicqStCzl2a0FrXnwV1+CspAsO1rHHMlqRdSrML0SvZZjlrokRUk7F+tgqqqxXn7ol1/Mo6+ZJjkYDyyPvXVxtF4Sr+aohwsm+xmqrKAY2C7rn97Kzo89yFfuP5fycIv0mKF1hGYereMl4w/JPHTuKZtFyf8pd1Hu3Mp//W//nt9behF/efgF3P3oPOaRFsmSknkcdyQrFelxy1R3yLq5KKFwHPndNejkPHhgK9EjKekx5a2aHelyhelXJMczWo8WTGb54NmLggP/8DzufO8c8aMJrSOKuLF5Lom6FaZfYtZzzLE1Uj9uMi/AVtizF7jnV8+Rd7Ui5kjpcjXymatehlrvofMCU1Yk/p2P2Wzjd/UpwqnUKXjta1/L4cOHec973sPBgwe56KKL+NznPtc0Hz700EPSaHkKEYKCgIDnCP7wD/+Qbdu28dM//dOPeV7dubxjx44nfA9nFDZKBhKzpR6YGTHUlO1Fh2rorMSmkjWI6+K8pysqGLgrWieBRS02ZIXiFnUt+YSX1fXcdj3UJT/srtg8jxXmQbLiKDsiI+y0KBYaLal8PZTZ2DAPa0mWIZ8Ucx9RTDQ4o3BKEZ9Au1TWNj0PVBJIdNcN+fYCbCxURCP9BDXt0gyNU74c45Qi7lq+sbiLFy4sck88Sy/p+MZLLUqFikZzAUS/gUpWK1VYfm/pRfxw57ucs/Mwf6Qv41vVTmyUYE1N5TONnkM8dB1lLUuHJhjbnfPC3Qe5s1wQuqLXBVDOEHsBxqauXrskVhXxmoPlmHx7gVOxqE5qyaY47a2ifY+BU3UDqMUVkn1JjvsMTST0VuXAKU7+mXvtY+WezD79SeIUyxxfffXVm5YLAL70pS895thPfOITT/h+ISgICHgOwFrLH/7hH3LllVcSRYP/7O+9914+9alP8ZrXvIatW7fyrW99i7e//e284hWv4KUvfekTvo+qHCTgkkgaBYERtzpomsykUU+jtJVdeWkh1hvoik1gsIm7otNIUNCrqIboilQ+hdzcr17MS3BWygQe8bqVmr/vMTCZaf6AK7+YNkvK0DxQinhNpIbLTi3RC6BR1qGLaOM88kLYBcYRr0O0pik6Q3TFEXngk8/D9B1LR8fZMbnCzHiXY0DWH0fnXlbZ6oZ2udk8/vLwCzhn52HmohV+fPYuDq5PsGinyF0itMMT5zHkkhgdjzg+02a61WPL7CrHq0kg8rRDqM2OVDFoDsW7JEY9R7yiyMdo3BVVdYJLYinzHrgrRk2PSrLqhaQSaSIUgSk/qcf8zE+jzLE7SabgSQYFpxshKAgIeA7gC1/4Ag899BD/6B/9o5HjSZLwhS98oalV7t69m5/7uZ/j3e9+95O6j+rlKBVjO4ns2mrzIe9tDz4wsL45kEoCg6zAdPOBJLKnK2rLCJvAuYE1rgNpZKwqTLckMYp8wnghHmEAaDXktDe0y1dIB7wsNJVI5Y55qdxaYtfTBE82D6hIVy3OyMLW2+ZQVo0I8SCeQaPz0BrnLMm6pXXEADHlzow8iUAZdKGESqcZnQc08zC5JV6MuTuZ55wdR3jpjv3cmp9BVraa/oCRebjBPNBw96Pz/JG+jB+fvYtfmr6PA/kUN+nz2G+mycp04zzwglAW0mOKbnuc7xSGV559L99QOzkWTZC5xDsnIu6KPsNgaoGqyhL1La2jkdAVd+QUqdAftWd2OA3KevaGHpKzRgLOdNlhjWQLsi1OxjEwQ1LVxncl1MdTm2J/TJziTMHpRggKAgKeA3j1q18tNL8TsHv37g1qht8PVC5Bgbbg2jHOGPFAwDcQKtXoEDS6BFSS8u0ZdCW0MpuaUXfFzDSd6i4vRKQI/3e2rDDrUjNWlaNsm4auGBkNfe0ZAQpV6IHtst/O1bbLpnDoYkgqN/HpbN/Vvtk8kmVR7dOF0A7zaUQ50aezbSQd+RE1oWAwj3itonXUBxSkFNMVxa4cSESZb1U3zoyR0SPSzjq3tBeFdnhPf57F2XVecc49/FV0Nr2xNjYxgHT/nzgPZzTmkRbfqnZycH2CA/kUb5u9mRe29/Pfxy7im3o3PdPaOI9YEylIjzmcFk+GL3Mu580fYcfEKndG20VKuSXCQxBJKSUW5ocBop6lddR59cRkhK5oE5FErpsPo56WZwVpxISBtHM+kES2sRoSioIoGn1XqtAoV5yy7/j3wqk2RDrdCEFBQEDAqcOQSyJGqHY2jUWrHpodtxvZtSMsgUJq/qbnVQETTdWJR9KujbtiKbt/2QXaE9zzJFtctXWzM8YKj92N7PhFMlf3S7Hb9U56VaKoYnDjksZXpWuuq4dS8JLGr6Se7cB6Kl2VQD4lngQ1rU5ZPw/JiaOsxWQVyZrx70gBhtIp8llRVnJadua6HGZzyDxU5UhWJJVe0xXvam1jx5YVDhlL142hswicpzueMI9kSXo/Fq1kCF7Y3s/WaI1/sO1Wjmcd7i/ncMZLIp8wj7jrsMuSgui12zwYb2HLWI8zth/jgWwOp2KhZhbSY1B/0Mo6VOlI1i02qiWRNYWOKWYqRLTIC0VZoXPGIEZKSL9K1CsbmiN4umILMi91rMuhMkH9mcPpNUT6HjoFz3SEoCAgIOCUwdUuiUrJ7i6JcEmES6NBKtenkqEuJVictSgvQERu0EphiajGhiSRLRI8NOP8X1lfq9c1rQ9pPsunI2gBzngKoxsEJENBis4KkeqFRhI5n6ilcpWIDyF6A6qqBvNAGiQjv5tPIuHY5xOKfNqRTyhqF0BVGlRpR10iC0vUtdKcmdRvQ1PuzCgmZSK6rO/v51F53wgnTIUqwbsNRhxIp3nxmfvRU45HK02+Pi7uhaih60hqPll2WKPJXcJ+M81/H7uIf7DtVn6o9TB3zt3LapZyhEnyMhGXRDuYR9R3OC3hXNXSdKMxrNVcvPNhjs52WEXcFaN+LQkt3gy6kHtH6xWJwTcKStmg2JVTTsj8daEwRd0gGImgkfUlkJ63uVbyPDaWJs+q5SWR86HehGroMz+NiobfS6fgmY4QFAQEBJw6lCWOYsDVrixUDjueSDrXSPpeOSe7/Vp4ZkhVUDHqgleOxZKCrt0V1UCwpu4LUF5Pv1bXqyWKy/FBKaH2Q2h6DGq53H4uJIHSNnVwXYkkcn9GFqckVrhInnt4HrpXSIObX3SUA52L1n9v3mET4dfX0r2uJ34MGtB5RbJSNKZEugCd+VLCfEE+Bs7E4BQ20iQ+lV+n15PlEqcidIm4JNqU290C89uWedkZ9/OV6lx6SRubau9rIPMwfaEd1hLMWZnyTb2b41mHO+fu5X1z36ajc77ceR7fiefpuxY2rgMXQ7JciTJkIRoKqozIu2N8rTiLy86+j4c6MzycbhF3RSPzd1q0GqJeSezLNaIwqX0/QUI+V1JOlPRIACkJWKPAxURaYbIKs577zyfyLo0GZaXJs7fNDb0rBp+5UfiHPy0ImYKAgICAGmUJvomvTtPjnDAIY4OLJDhQzqG0Fmnjmp5YliJdO+yChzSquURTdmIiK9fCqxzWpQdXu+f5a2nE6Ec50C1HMSGp6SiSBVU7J/XmsmoobDgnXfYKL2BkUE5TjClsZEiMyPYapdDaBxd5MaAt1iI8lU9/G0XZlp1sLd3b0BUdInBUFcQggU6lUVVdG48pxy3FjhxVJUJXjBC6ImAyS7xWiiqgq5sBFT2dcjCfoZslvHTXo9wRb/fmRhHKSo9BYizJiqTrJVWv6JkW95dzrGYpHZ2zd/zbnJcu8kmzh9vK3UJXjGUX3j5sMRno0kkzotPoQpO5FrfEZzI3ucb5uw9yR7WAU/7ZtTy76VdE3WLwriyDOduIYtJR7JC+iioZUDRd/Vkez9FG/j9VXQ4ZzCOfHqUr4r8HzuVP1Td+A5R1TVB64vFnA0JQEBAQcMrgvLIcWokELXWmV4OWP/4uiaCsRumKWQY1tawc6AlgNLpfYolQLYVNo8GOq9bOrx0ST3RXjAaSu1WqR+iKlLHUqQHVz2Tn7/VtdOQlkT1vvl6cijGNqWl+dUd/L2v6I3Skm1KC01Ctyk63SqGYVGhP8xN3xogoL9FFJXoEsRbTJiVOg8L71xQtTTHtqXtDdEVVOaK1kqhXl0wMLpIaOypiRY+xOrHa0BX7+Rg6EwEBXSkROfIOjs5Ic6QzIon85c7zOC9dZEL3+Mm5b3NgfZKDdpqcWDwFKofOKyAiTjXWyAtxkabXaXNUW9pRwezcCoeLaVARulKYDFpaofJS3lVUN2wO3hVA3tYb6IrKgskMcVlB5ntPkMyLO2EeVSKZA50P0RXLZ45L4jMdISgICAg4dagqnKsG2vQw6NjXCpII245FTGe46a/XF+0BO2gGHJE29rvxYlLSwCM0v1o5cRN3RanvOmJPV3RGNTQ/kDJFnWUg8vfTdT1b5mAN5OMibSwsA2joikcr0QAYcgystQzkXhIQ9GfF7a+uhesyIlpB3ApBjHycyC9bIwulLiWIKXdlFDoGpRu6oulrdK+Q4AXACg3QGtkxKxtzTzrH8xYOsW3bKrcXC2RZxzs3Kqa6PoVvHSA0TmU1eZnwnXieT5o9/OTct/n/TTzAvdu38VV1DgdqumLlMN0CHMS1aFAlvQE2NvTsOA+UhlecdS9/XRqWzDiZjdG5kmAnL+RdKSUBmosa5oCuFOiIYmdOEYtjorhMagmACv9ZOQcWjM+8DM8jnxZBKV3InJwGVZ5GnYLAPggICAgQjLgkghgGDbvZlRW6cthOjBqi+QGysAMqrzMOdqQ3QZeWGKjaEWWcEGlvm5sVuNolsXY69D91bwIM6IrZ9ICuKDr5ZaNQWLMbtLUipuSDB1M48lx6DGykiFNZuCPvy9DYNdc9DXVvQmn87lrR3yrmRpVX/0sXNbqfN+WOuvkQF6MrIzvk0vcYzHi6ohK6YtzVIsEMjcCQ1LINJpcegx4t7s52MLl1nVeecw836XPpd9qgDLqbE1d+XK1DUCjpTXAtbit3c2B9knu3b+Oauf/NDa2D/PnYi7nN7Jb3280GrpWlQ+d1CUNj+oasO8aX3blcsGORHZMr3J3MC13xAS+BXes/lHHzrlQ950qBSyimha7YJaVKFFHf0MmyRuUQK6yEzeaRe7qiM0LtfCa5JD7TEYKCgICAU4faJbEaCgyQDvlmgffNX8N0RbRqXBWd1pu7KwK6L06ELtFUbd+Jv27Y4J4HI+OM1oOHUVB2avqbxQy5KzoYcWU0dYbD1/KFE4+n+UW0nRs4Bta8eHxqu2Y0OHBGN2OzLT4LYNSg7GG8loKVYMV5ih2qdlc0lJOKfLaU2vsR2TU3DY/OSe3c1/hxMs6pmBU7zt8kOzhj9jj7o4p+PoGqU/A+q9HQ/KzM0UYJB+00N3EuN7QOsjM+zs/P38JakVKZbQP6aJNVcaAiTzOUn17a5jvRHDPjXc7bcZjvZNspW9Fgzj6oA4iML/0MvSucpnAxxVbRgkiXFFQWlxdN8DbsrjgyDyfzKDpgjSIqmtDzKUfIFAQEBATUcLK7dtqXBTyFkFKNlhKMhjQWm9w0GmQVNIOAom7MqpvSADLd0BVtR+iKOjLNfYYDkZEeA6OlCx1Zs6ppkUQ2qcEMBzBKjfY0eMaClK0VSaToT2lsInTFOqNRax4oPZinyQb6AjYSK+F8UlFMQDEuNfimQbLQ1DIG9AdCPE4zEPRBUy6U0ozXkedUxaBvwujSWw7Lc1cpvk4fcSieYvas/cxNrPPQTNos6iCBTxQP0fwS/6zELOop/nz8xfz8/C28MFnkFbP38EU9L2l8aOijIA19cdIUfKhahl7S4RiwsH2Zia3rlK3pwZz9u9IyWIIkJyUQG0vwh9LkO0vKCUsxbgb9KlY1jJNm/jA6j5qumIIdP31BgWgybH782YAQFAQEBJwyOOv/IlqNoxqoBw79vskYWAdxhB1PMEr7gMKPg4HyIQxKAvglx9MVi/GYOIkloKjH1QJHNeXQRgO6YuXkglpRjBmK8YjYp8HlOQfUyOGeBqEd1roI0nSYTXuRpbIUWWI/L+Utn6WnwTZ0RRhQ8ESJz2DKE5gaXqgncg5VRigbUQv66FzRI6HYkZNPp7hiYPxTN11GSDpfVdJjUNMO+zbhDr2DXfPHOXfXYShck4LHQqQQgaVS6vg4MLkmK1Nui3azmrd45dx3+Rezd/P55OVy77p3w4sxKeekF6K2PFaSTcn643wz380rzrmHWye3DOinm72rMm7elSq1l01OKLYV9LfqQZBpHS6KULpsBKxONo98StHfehpX5CGvjw3HnwUIQUFAQMApQ7R7B8ZGuKKQHXdVyR/wmiEAuNWhbZT2afPdC6id86gsl8bB0lsu11bDvT72hD+qGmgpBdu2Yi+9ALOeo/JSdrF5IbbLVtLN9PuNAmLkf1paocbHWNv7UuK1Ep1VmF4x6FGo6YrdHtrTIyPrZJxSYAzHfuwcdAXxeiXX6JXovJLnyHJMt4+xltg6Oo33gAKtOfrDO+hd8iLS4450RYSMTL/CdAt0XhEt9YmPVrQrO1hQlILIsHJ+xN3vfh6tRU2yDPG6I121ROuV0BVXctIjlQQzfpFyWoMZI59pceBjqxxfnCQ6HpEcV7SOOuKuI+o7kuWK9mHpi1ClfFZWzfFFs40vJC9n/tr7mIp7fP3AmSw/PEVy1BCvQrokhkVRZkmPV4wdyEVF0T/7Q+Z59H8MHvr4LroPT9A6rIlXIVlxtJYtpmfl2VcL0mMZlLZ5dpSiu3uc7/z6S2TOK4jl8nLVzNn0S3S/wKxlJJWlYwffs9Lm3P9UfOE3QSgfBAQEBHi4OMbpZMQfgHpRqyqw1jcj2iFFQlH6c7GBqCUaBD41XGcJJOcv13A+0MBZrHVEM9OSbp5KMV2DyvSA2VAHF+XQ2KpqtBG0ko74fCrCZAYXadEhqDMcXnmxDk7qQMXV2QVzBnlbUbYiaQA0GtMvpQGw9AFNZUeCJFdZUWa0OyjbQiO0kSZJFPFazULwzXS5RWV5E+DgmRbx7klsS9Pb6Sg7mmRZejRaIHOvHFSlqDXmEuhQFLiypLW6hal2QWd3wfGZNr3946AMdlnhtEMXTnQIcglQVDeTckNR4oqCiSjjZ2e+wWWT9/L76Y/w6NgWyqNSCgJAaWIvIGV6hThg9gtUlqOL3cxPrtJ9fp+DnRmKYxFVS8oE3q5BGB5ZiSoqCRL7uVhcT6XYVkxvp6OY0JTHFdYY0kgRdeXzMHWTp7UyrijkfRfd0/RfQAgKAgICAgbwO1nigayxY5BeB7zsLCjtAwPlg4BWjE0jtNepr1PjdfDQlAaUGrFdpqzQWUU5EUPlRqWEm/tVg2vg+xa8D0G8XpFPeq8BLyUMQw59J5kHQLJm6W0xFGOymDW8eMegO/8k84i7lqin6W916FyN0BWxbJxHXogDIhD1K+JjsdAV3YCuqEuvd+CMlB8al8CheTjHgwe28sLdB5lu9fhOIeZG/kmlxFE6amnnE+fx9QNn8LKp7/L3xh7gzvkFvmzP45CeJCtTmQdD86hc466ItcRr8OixKV52xv10s4QVLZLIJpPGQgloaJwh65IKgCosyVEjdEUt5QGdC+1QdCOiJoiTko/1cy6hOn0uiSEoCAgICPBQeQ5EuHa6uSuhUoOmQKdQypcWctmR1nRFrfVAEtk3/zU9Bp6dUNsuU5aY1UwkkTsxNjFEtSSy1k3d+UR3ReUzDvFKDjamGnZX1Gqj017TH1E28xCpYUXRUVLzNmAT1fD3jdaQm03nEa9WtI4YVKnoz4m5UU1XdL7ZbnQe8uPyAp1VdA4quqQUW0vynSVOJ6C9u2LdqGiUaBoMNVyiFNEjKXeWC2yZXeWVZ9/LlzmXXrtN1ZJeAGcgTvWm81h9eJLfb/0Id84v8P5tt/D76VE+P3YBt0cLQjtMRfCpmUdv8Hkky471B8f5SnUuL931KKsTq9yTzokkciJNgU4ZoXv2Bu6KGI2yjvaiApeQz1SNu6KLxF1RmiqTkzhjDhorn3KEnoKAgIAAj6JEKVn4MGaDKyEwMCWy1rMUlDTr+Y74mq7o0nhEQrgZx4Bl4JB0vMoLdE+JJHI0RFfUeKqbH1cOmAz1n2jdLxtJZByUY541YKRRcaO7Io2Ggu5XxKsKZUU4p2ypRplPeRleXTfjOTcyf9MvSdYioWbGsiA2dEUMsfbPfeI8vIZCsuL84htJd/5ciapE/AgFqhqaB6KhQF6A0aTHFE7HHK8m+YbayXnzR3gw3kI3GhNPAVcrFUrjIgzmkRwzPHpgC1+25/H76VFelD7K9h3L/KF7GXcUC2RRjNN603lEmSM9punHbe6ItzMz3uV5C4e4O9uB0zHWKNlpO1OTGEQ22DMMkmXn6YqGolQUc0JXtJGXQa7EXdEZReT7QKTh9DTqFIRMQUBAQIBAXBI96yBNRNo4jhpXQkcpLAMjzHJlLU5pqdkP0dwaumISNQvwZu6Kom4nDosYjdYa24qw8ZC7IjTd+TLOgRk4HaqsaOiKAFkaNZLIqvRiRDDirlgHOI3tsndX7E8JFS4f0+haErnuDxjSUaCy0kzYrXx2QZMrRTEmEr2qdiW0BlW6DfOgcsTrlioZyPwWYxXFpF/IrZcHdmych9Ykq35xJeJYNMGOiVW2jPWwVpN3x6Su7yWRdT5QA1TWEq9CeTTmkJ7k82MXsH3HMjuj4/zY7N0cWh8Xd0Ur7oq1oJGyBlVYdOFIVsCmml5L6Iqzc+tMz66xZCfARZhcbJdr9oAqIowPzJJ1i008XRFNPl5Rjosksi5F2riO9nQh5QsNp9UlMYgXBQQEBNQYdklUChdHkCaNK+FwCn64x6Bu4qvHYR2kEbaTyA53eKd+4m7f74CV8gqHfuEsxmMwCq3AVG5E0Mg5v23TSoKCujnPQWIUxbihGPc7TOfQppZNHspaUIoiIXh5ZrlkPqbJp5Sn5dFoNpw4D5WXxGuekaGFdqi8uyJ4ISK8UqBmMA+fLUhWKi9bjJcCjikXcvLUgDboUuGU9r0Tfh4+25Au+d1/ochcwp3Rds7YfoyLdz7M14qzyFxLGgeV75PwzRn1WBcJXfH2aIE/dC/jx2bvZt/MfRwrx/hqfC4Pmy1kZWvDPHQJ6ZIFJTbO/XyMOwrDK8+5h/8TLXAknqTvEpSVcU6ZgeKhk5KL08pfS/waivmColMBMar0WSYNykZiNqWBakB1fKoRDJECAgICapzokmit0AJbUu9WwzX9usegph7mjEoiexlbl0S4IUnkYWZDw1nPhzj7lRWFP6WwqaGc8H4JRqiATWBQlrLIZ3kzrmmqqxxVSw96DGI9oE/W81AKsqIJRABvB+zQpSabVtjYeEEf8TfQw/MovBWwLyvosub3i8BRb6gUYSMltfJ6HkqJBbFS6Epjci0qgiSUk5ZiZw4u8ZbHXiERL+1cWtLlCuUMOpfFtadaPJDNcXS2w2Vn38ct8Zn0Om1sLJQAG4swkVNCBQSvm6Ba3FEscGh9nGPlGG+ZuZnz2/v50/YP8E1204tanl3h79+ztJasL9VodGbIsg436XM5a/YY289e5Xa9QE+lUoqJpYFQeiNsY7usS9NkM1QVU0zZpsfAJjLnWrzKxPq0uiQGQ6SAgIAAD1dV1C34w9LGrnZJTOINPQY410gcnziucVdUqpFEViB/8OuGLuvAVqOSyEo1Erwu0dj2kLtiXZdHAgNXliPSxtoY2ZbjZY3bfoGxQGlHegyoqoG7ovbuit7qt0oUNhIzJV2JkFB9E12J8qPKS7QaLPhyT+3dGSGfojEEQoGu/DxKi87EJdEpYQnYqJZE1hTGkM9U4HxfRyULKUoR9UqiXtlIIjutqVoiibzqxnmoM8Pc5BpHtaVnxzF9A06yDroyRFm90xc6ZRbFHHaTfDU+l/Pb+5k26/zstm9ypDfOQ9VWch2jrMbkiqgPpmeJ4zpQUDit6HfaPBJNMTexzq754zyczeJU5J0hAeT9xcdLeVe1UmSsG2njPI4opsUSGiUlCFUJG0MVp7F8UDmU3iRTUD07ooIQFAQEBJw6nEzaWJe4JJbu98o2BkINza8YZBc2SCLX7opphEsHVEdlI0/zk36EemdIfR2jMUBFTDkWQd1jMEzzs15DoCiacdp4O2Kv0JdPR9CioSs2NL/KQpY3okjaN/Upr5hoI8gnNFULikLTNMA7YT6oXg5VJeP6g6AgiSR1nk8osi2OYqIJV6QJsHIY59C9QoImBrtpGyOaDhihK5ayYOrCOzwi80iOZ8KwcBKE2UQa8pSLeLi1hfN3H6QdFTxQirlR7etsCk16vCIupY5fJZKuz23Cw9EW/rT9A/zstm/yyvaDfHtuJ91C7JjzQnoM2scUplfidC3BLAu8TTVdPcbBSnPZGQ+wNNdiVXm6Yt+XSDKFzsvBu3KmeVfKKVCGYldO6fyc80EJR+XBOvnxIgQFAQEBpwzfyyXRxUJXrBftRqCoKAcuifW1hiWRKyt0xfFE6IpDND/X97bLw+6KQwu38T0G5ViMizVmmOYH0OsN3BWHJZG9AA8II6EuJTg9oPmx3m2sfP0SN+KuqEsoxhT9Gdmx2ljoiso5TC8/wTFwIIlcOwbWkshla0DzqzvyzbG1gbtirRzoDDrXXhI5pZgryccrnIll8Y01qYbWo4U0xBW1o2OELiDqK3quxR3VArNzK7zirHv5sjuXXtqmahlQms7BAl1Z0SFAyg8mU2Rli2+ymyO9cb49t5N/te02tiUrfGHsfO6Kt9Ojxfh+hVnPGoEmk9dlAI0uIvLuGF8tz+WHznyQxfEJHmhtFbpirMRtspfJnIfflfVzLhSohHxrRbnT0xV17ZJ4Gq2T3Ul6Cp4kJfFjH/sYv/3bv83Bgwe58MIL+ehHP8qll1666bn/4T/8B/7jf/yP3H777QBcfPHFfPCDHzzp+ZshBAUBAQGnDidzSfT/v6b0uTSGUg/KC73+wCWxHmfcqC+Ab/hzkca1h+iKmR4EFD7t7/JBU2HdYFfTFctOTFzT/JxrbJeb56xFc7ylcU1XVBViyjNM86vVEd1QAONkJy/uig5lJYVfdiRlLqZPMeaYavwLasfAmn4JNAyEhq44A7qSLEDUMxJI1U6DFmJoGg+V1d4cKaIctxTzBaqKJdXuNJOZ1NhNo8yoUE6aAa1ROJVwuJjmr0vDBTsW+W48SzcZQ9kIXVnMegGVG22GRNGLWjxYbqVbxGxLVvg77XvZvXCMP1KX8a1yJ+VdKapfNJ+Hsg5c1JQyVKnpqxbfjHexdWKd83cd5NvFAk4nxGtKKJVajVBVQT4b5XwpwRqKSU0xXwAxNlZEZcP7eMpxKtkHN9xwA/v27eP6669nz549XHfddVx++eXcfffdbNu2bcP5X/rSl3j961/PD//wD9NqtfjN3/xNXv3qV/Ptb3+bnTt3Pq57hqAgICDg1OFkLolaSc0fz0rQkjZ2cTTYVQ2Pq3sMhseB0BVVjDNqQFc0GusXiWH75BG3wyG6IrFu6IqqqDjRdnnEXVGLS2K9+FQn0BV1Ld9cly6MHvQYZKZxV7SRoko0NoKiozGZIVWqGVu7JCpAR1pS+whzoUqkabGKPF2xhDQ14pJoNE5JsyNGEfVqqWFxV6zr7UWnopiSlL/JlEgwKymZGKVwjbugwcaS0UBFLJlxdkyusGWsh3OKrD8OFlReyrhu3cQogkdVqsh1zBE1yRfGzmf3wjG2mjV+Yu4ODq5PkLfmRuijIEGXTZTXRZBsRr/T5ri2TLd6zMyucqycojgSN86QI+8q8o2n3lGybqrMx6CckDnb3mkMCk4h++DDH/4wb37zm7nqqqsAuP766/nsZz/Lxz/+cd75znduOP+Tn/zkyL9///d/n//6X/8rN954I2984xsf1z1DUBAQEHDK8LhdEmu6onc49L/c1CURGO0xOIGuqLrRRpdE6wYuibWbHwzoipOJX4zjDbbLbijDoFRNRQSsIzGKfEKEipSNiGwdUJRNloHIlxK09iUJmZ/T4q6YT0qte8zogWNgvWuuHQP9/UF28TgoSkVvm0NZRXlcj7gkutqwyVMrlRMRI+VqMaSYcmdGHkeYPBJNiDrD4Zw0SDrACg3QaclKZDbm7mSec3Yc4cXbD3BbsQucQvULkWJuhJpEdljeiyYvEu6Kt/NH6jJ+Yu4O3jL1AA/t2Mqfj23zAleqoUcq55o56kohiooRvWKc7xSGV559L98A1g5tHdguw+i7quqMg3xWDV1xR06RaGx2Ggv61v9sdhxYWVkZOZymKWmabjg9z3NuvfVW3vWudzXHtNbs3buXm2+++XE9SrfbpSgKZmZmHu/Tc/oEoQMCAk45brrpJq644goWFhZQSvGZz3xm5PfOOd7znvewY8cO2u02e/fu5bvf/e7IOceOHeMNb3gDk5OTTE9P86Y3vYm1tbUn90C10VGdMfA7aefFiShLkRvOi4HRTzsVhsHwuNq4qB6XFyPjVC9Hr+VShoijzcflxeB+3linHhev5NLhP5aMjqufsSikATHLpY7dzTDrGdFqQbpUYjJHNu33VCeOy/OhcTlmPZdxyxWtpYp0ydLfIsJMrrLNOAo/Pz8uWsuJVwqS5ZL2cUv7iKW9qCjGIZvUg3HN3Pz9/PzS5YrWcUvriMgDR4+m4KC3sHGcWZf7JSvynO1jjtZhGWceaXHP/fPcdWQbLz/7XlykvVFRhl7LidYK4pWCdKmifczSPuxoH1Koh1t864Gd/NEDe3j3oYv5Z7N/RX/O4bLB+1FdP9dVmWfreEXrmKV9CNoHDPbhMb58/7nMj68JzXJozo/1rlpH5dmTRxNUrql29p/c9/lJoM4UbPYDsHv3bqamppqfD33oQ5te58iRI1RVxfz8/Mjx+fl5Dh48+Lie5R3veAcLCwvs3bv3cT9/yBQEBDyLsb6+zoUXXsg/+kf/iL//9//+ht//1m/9Fh/5yEf4f/6f/4ezzz6ba665hssvv5w77riDVqsFwBve8AYOHDjA5z//eYqi4KqrruItb3kLn/rUp57w85jpKQx+sbNDlr917b0sIc9xfd3YD2M0enwMPdZpFsnhoKIZV5aQZTJGK5Q26CSGyGB27xwEHd6FcUBXLHG2krFKo41GL0VEkcFFBp5/tiwwZQWlt3iud+llKUyBfobSGr1siI2Mc0lM9bxdonKYVYNr1PMu/NieQq/2iI4aiAwuNlSdhGJLC3fp8zG9El27ApaifEhZocqKqJcTrYh7o4s0k62Ysm2o2oaly88nWa0wfVFH1HklhkAWdK8kzUqSY5pOpLGJ8eM0RVtx4B+eR7zmiHqOqG+JetKsqKwj6pWYfkVLi4Nk9YCmbEWUrWlundxC/1Wgf2Q38ZrYHkd957UZRIcg6kP7mGJ8v6K8KyVvzfHnY9v407nLKKYq7vyNM0kOxiRLiqgLUVdsm3Xp0F6pMeo53KLoMxR3jrF/fJxOG+7bdwHpUUW85oh7cq7JHNo3TEZ9sVFOj8PYoqa6T1O2FJlu8dCT/8/sieF7eB88/PDDTE5ONoc3yxKcCvzGb/wG/+W//Be+9KUvNf+tPx6EoCAg4FmMn/qpn+KnfuqnNv2dc47rrruOd7/73fy9v/f3APiP//E/Mj8/z2c+8xle97rXceedd/K5z32OW265hUsuuQSAj370o7zmNa/hX//rf83CwsITeh411kERN7v0ZtcOI5bHTVZAHpTorDNEFrmqGqtcV5aoepH3tst2E9vlaGEH1cI0KivEore2+c1ywGcA+uWIZXJ9DTM+Rv/S52H6FSarUL1CAoCilAAhL3BlsantMkDvNReB8tz71UKshnPJbKh+DlnhrZtH56ErS/7qC1ndGRGvx7SWKkzPYnqldOefMA9lKwkwihJTVVQ/+AIWLxkjWdYkK45kzZEsV/IMJ84jL3BlReI/D7Vlijvftw2WY+IVRetoROuoI1m3ROtyjejEefjPg7LkwT/YxfapVR49NsX6Q2OkRzXJiigVtpbsY87jzt84k7/Y+zv856Uf4rOPvIgjhycxiwntRU2y7EjW63nkG+ax8oML7P6173D74e0cPTJGfCSmvRiRLMm4eLUiWSkw/RyV+UAuk+9hkfee2H9Y3we+V0/B5OTkSFBwMszOzmKMYXFxceT44uIi27dvf8yx//pf/2t+4zd+gy984Qu89KUvfQJPH4KCgIC/tbj//vs5ePDgSOpwamqKPXv2cPPNN/O6172Om2++menp6SYgANi7dy9aa772ta/xsz/7s5teO8sysixr/t3USbUCEzU1emBQr6/tir3lsbNaAgOlZJf/vSSRayXCE2yXXV6geoXQFetmP1+vduWgadBRsx+qwTM4R7xWbKQrqoEQ0knnASQrJflU1NAVUdKYOCKJfJJ5xGslUS+iPyMXS2I1kEQ+2TysMDJ0r6R1FHrz4mFgYxDRHnBdjVGMzkMPZKWxjvjRhHx7QT6G0BWdwkaapGbuPcY8+g9P0O30edkZ9/OV6lz6URubeklkB/FjzCM5GPPJpUt539y3aemCv2w/n3vibfQ97bCZB+Ci0XmYzHLLg2dy2dn38UB7K4+m00JX9PoMThmUgyhSaFOKXwJ4Fc1i0+/xU4FTZYiUJAkXX3wxN954Iz/zMz8DgLWWG2+8kauvvvqk437rt36LX//1X+cv/uIvRv67frwIQUFAwN9S1HXHx6pJHjx4cAO1KYoiZmZmHrNu+aEPfYj3ve99G3+Rl5BYiH1goBWUj7Eo+8DA5QUqMlIuSEXkSBV6VBLZ79IVjNou2wqV5WgNLja4KBk0sWkNRTEY1xgaedtlkDq8UrhE6IqRdaIJpIcok5vMAyvUvFgrdMtRTHjFQN8Nrz0tcYO0s5+H7pWkKxXKaYpxhY0MiW8ONFqhtR7Mo5Z2dk5ol0VFelwa9IoO9Lf6RkGMMDO0InbIinriPLSidUQUDMtxS7EjR1mRRHbRoM3sZPNID2sOjs2wniVctPsRbo930Gt1vLKiporVYB5qdB7JkuLPH7mAjs65fPx2zk4P8V+iS7mt2o2NEmxc39/gotF5qMrhDrS4JT6T+alVXnTGAW6vduKUf3YNyhmcGaKRKiUCT6dT5tgOMkkbjj9B7Nu3jyuvvJJLLrmESy+9lOuuu4719fWGjfDGN76RnTt3Nn0Jv/mbv8l73vMePvWpT3HWWWc1/w2Pj48zPj7+uO4ZgoKAgIAnjHe9613s27ev+ffKygq7d+/2Lokl6FgWoygacSV0lWcknJgxsFLPV0rhjCyuLhooCA5LIoOwCBx+gbROUtS1JHJNVyyrhkXQjMMvzt62GUBlJdoYLBGqpbDpCZLIm7gruqoSL4SsxMSys61S3dAVqRyUsUgh4FPKJ8xD5xXReuUljUWZrxjTmNpdER981PM4Yf5x11KtaqwRHQMxYQIQp0BdRBtdIq1kZuLV2nZZU7S00BWdFlnhQqMrJIOzyTziNSiORazqMZYn2syMdzmuHL3cSyKjUE7mUafM63lEXThyeJK/bD+fs9NDTOsuPzn3bQ6sT3KwmiYnlvsXJ8zDzztZ0vQ6bQ5rS2pKZudWOFxMg4rQlcJkUH+wqnQDHYbTaohkGy+ME48/Ubz2ta/l8OHDvOc97+HgwYNcdNFFfO5zn2sC/YceeqihdgL83u/9Hnme8w/+wT8Yuc61117Le9/73sd1zxAUBAT8LUVdd1xcXGTHjh3N8cXFRS666KLmnEOHDo2MK8uSY8eOPWbd8mQ0KvEgqGSHHkeyw4TGlfBkpQSqamBqpJRIItd0xXpRriWR/a3qUkJjuzwsidyO0X4BbGh7digwsKZRmFN5ISZFPgAoJsVAaYMk8onzqCrxLuhqScl7uqLQ66JG617EhTbOg7wk6okWgzXikZCPeznihh/pBYZOnEdZEa9V3jYZiglFf9Z5VT+5a6042MyjVnlUimTVa0JUEsSUuzIKHUsjZqEaz4DN5pGsOKqWQrmYe9I5nrdwiG2dVW7PI7KsI9kIVc8j8rt2h7aWqOswiwn3xNv4L9Gl/OTct/mFifu4d/s2buJcFs0UeZnKPPToPADS42BjQ8+O80BpeMVZ9/LXpWHJjJPZGJ0LpRGlfONkjFbqtAYFNbVz0+NPAldfffVJywVf+tKXRv79wAMPPLmbDCEEBQEBf0tx9tlns337dm688cYmCFhZWeFrX/sav/zLvwzAZZddxtLSErfeeisXX3wxAF/84hex1rJnz54nftOyBJfjnN8tRaJFoECogcOp9KHAwFUWpUoZh9/Je0lktIj7NLX52l2x1hdwThriGOxIdeWwnRh1ortiWTY6BHJP1YylrNClJQaqdkQxkRANSyLrcnQeWqH6OdoOzJywjqptGrpiFGmoa/MnzIO8wKxlTVrZFI481/RnRHQoSRSxX/SN1lJS8fNwzhGvDBwDTaZRlaK/FaqWooplnI0UUaxH5gGQLpVoL6VsckWXlGKmotiVg0oke7Gqm6BjeB6tZTFEMplIIt+d7WB6do1XnnMPN+lz6Xd8jwGDeTijiJQi7jrai5q+a3FbuZsD65Pcu30b18z9bz7VOsT/HL+A28xueqo1Mo9apbh11Asw9cWT4cv2PC5YOMiOyRXuTuZlXCpmUk5FOC2CTo7TVz5Q1sl3dJPjzwaEoCAg4FmMtbU17rnnnubf999/P7fddhszMzOcccYZvO1tb+MDH/gAz3ve8xpK4sLCQtO4dP755/OTP/mTvPnNb+b666+nKAquvvpqXve61z1h5gHI7tlhUcri1FDaOzKyoHq52Y09Br4zH08DrM/RGoxpFvINpYSa+lWWo+6KSokkstYb3BXrQKJ+thFBHED3xZXRJZqq7XfK2o+td/u1bO6QRLLR3nynfqQxL4msEcbBkLtibdWMVwbEuysCXv0QMj1Ig6PEcEkPKS+aXtEs2jhwxksiJ5BtqUWL6mdyzTxUaYm6lezopRPPlz0M5YQinyvBRo1ts6pG52F6VhoSnbgyOh2zZCf4P9ECZ80e45Foiq4eQxcROK9e6WQeunQky745Mko4aKe5iXP5VOsQZ8WH+fn5W1grUr5TbCeLYkBjCnk2kzmSNStqi05+emmL78RzzIx3OW/HYb6TbcepGKcVupIeAzRQnU5DpMemJD7TEYKCgIBnMf76r/+aV73qVc2/6zr/lVdeySc+8Qn++T//56yvr/OWt7yFpaUlfuRHfoTPfe5zI7zlT37yk1x99dX8+I//OFprfu7nfo6PfOQjT+6BqkrarBuJYr9Ip8lj9hic1F1RFUJV1FokkZtGwdFSAlW10V3RaEhj4fgPuStSL8ggu/TSOyz6sWSyI7ZE2E7USCLX9xnpMahlikH0FvxC6tRGSWRVuUFA4nUcVFY0nf61JHISKfpTGptA0VHo3N/dSXal6SvIS0xmmme3kVgJ55OKYkJKCuJJoFGVQRVW5qFKTL9sAopaHliuoyknSopJXzKolGQhHOAMqowxmW2CpCr1bocu4kg8yfazV5mbWOdgpcm7Y6hSA0quk2t0JfRBkVLW5MQsmik+N/YiXrf96zw/PsQrZu/hWK8j7oqVuCtiIbXC9ogTsXEGRdUy9JIOx4CF7ctMbF1n1Y6Di7ycM4BB5c0n+JRDPudNKInBOjkgIOCpxo/+6I9K+vwkUErx/ve/n/e///0nPWdmZuZJCRVtBucYdTs0TkoCdY+BGTAKYJAxaLIE9TgYcUl0SXxyumJlBwHFCeNGJJFrehwMaH6l59D7h68X/BFJ5PG4oceZyu/264xDXgzkgmsp5crJRLSiGDPkE7Jo1oZODc2vKKEqmvtRSeDg/EspxjTZtEZZSZ8P0/xUXkrpQikJLoZ2wtKoJ+6KjZ0y0rzYzGM9J3IOVUYoG/kaPDKOhGJHTt7WoCNUpSQL4dfVeLVAFxpVeRqgBZMr+i7hdr3ArvnjXHbGA3y1PJe+agmjQMk84nVLslxR0w51ocnLlG+ZXXTLhFfM3sO/mL2bwhm+2jqX+6JZ+lWr2fmPP1TgFFL6KOrrRmT9cW4rdvHys+/lrtY2DiTT9G0KKFwk5582hExBQEBAgId1TV/AYKHVOKU39hgM0/xquuFjuCQ6a3GtZCPNzxa+bLH5OKyV7vkkwtX0OGgCC9fPBu6KJ9o1O0dU0xUnpAFRGyVZD6Wg28NZJcZM9f28XTNIgFC1NPmkpyv2hCGhnUPlxcC/AOSYtU0JQpcOVWmySUUVG5LI1/eVwlQOlXcHjoFDu1BdIo2CWiSRq9m6+VBofigGtsuVF9pR4llgCu2fJqGcsCIt7BKvIeD7EY5lkJXeX0JS9LoAZRU9lfJwNsvSXIsfOvNBvhnvot9pi3Kk00Q9R7xa1/dlnC4UPdXiO8V2jvU6FM7w+ulbOL/9KJ9Ofohv2DOwcSJW0t1c/B0s6KIOoDQ612Rlm78yZ7NzZpkXn7Wf21mgp1OqVBHZppD11MOeRKjgSbAPng6EoCAgIODUwcmi1rgcgqSla+MfkPp5XUqAgUfC93JXBKErao1L4gHNryzlfo8xrqErqiF3RWjMhEZcEisNhRrqTfB0RaWw7VG6Is6Cn2Zdhmh6E7wcM4jTYUNXtEBppZegLl0Mj4u0GBRZg9OKKh3QFXUpO3PdLzc6BhpFZIZcEhNpFGzoip7mpypDWlYDd0WNNOMpWQ6qWHoTQFPEhmKL0BWdUlIOsCLrrJsgB/m9EUlhpyJW1RiL4xNsnVjnuLb0SqErukUwWeVlm32ORIu7YhbFHGGSm9LzeEHrABOmx9+d+xYH1yfZb7dQHEsb+qi8rIg40dhI3oDTQlc8aCzbJtfYMb/E/nwrqAjbP51BAYN014nHnwUIQUFAQMApw4hLomZ05z/cY9BKwQ6yBH7wwCXRmNGSgL+GygspJRhfjnBOKGi1S+LJxg3TFdMIbeVPn7KD0kPNwx92Z5TF9gS6YuUamp/yAY2CUXdFPw7/79go8knjm/tEf8FoJaUWX45o7udtpZUvQdgI8glNMQa6lLR9tKZHGiTlVOWFeiRqSX1WoJhQ9Lc6T9eTa9QNkrW7ojOaGBp3RRcBVgFG6Ip2mK7oxBCpdlf0D+C0lCqUE7riA62tnL/rINOtHt8pDFlvTFwUewVGMWh0RASPUJq8Sngg2sqfpBfzd+e+xd8du5875xf4sj2Po4tzDX20/nDjyIsWWXlnNjV0GeNApXnZGfez2k9Z1WPY3ulL3StrT8I+eHZEBSEoCAgIOHVofAkqFGZjYGAG5QW8FoEC1No61jrRLNjMdtkOsgDKOTEk8nRFsnw0oDhxXF0SOIGuqLXsepuAwlqcMajc0xwr2/QYDNMVy06MTQyRkpQ/VSV2zfhxw70JlRXPAuvAxlRt00gix1rj6sUZZAfur6OtRRVVQ1fUpTQd9mck2IrXYkydfWkaF508Txk35QTlaYeqVPTnnGQrnGYyL+ReldhOG5AmzsKCi1H2BLri1pJ8Z4nTUkJR/VzKJEhgpIqosWzWOZi+0BW/XSwwM7vKK8++ly9zLsWdY+KuCMRemKjRUygUJlP0qxbfsGdwcH2SO+cX+MC2W/n36VE+fGxvQx9t3qtzqCrGZEaCHTQ6j8i7Y3ylOpeLdj/C8kSb77rHp+Z3SmDdgIJy4vFnAUJQEBAQcGrhhMc+WKjdYOFzDkU0oCtGkez4/ThXixltlmmAgcCRp/dhDMqI7fJjjhumKyKpdhdpaV50m4yrewzKQVMhgO4pkUSONNWYV/prVBr1aIZieJxSjfQuDopx79DYlC7EmVHuPbjOgK7oUFaEkcqWouwYYj+uea/+XF2/n5pSaIXaaWMpJWRblIhMFbYRcMJoL04kEsFOS90ep73yYSQ9BtsKee9l2YxTSjWKgyLcpFFW7udUwrFyim8A580fYf/4uKhPeorjYByAAeszDlHKo9UWvmzP49+nR3lR+ijPWzg0Sh/1TZfGe0JAhI0UOBFf6kdtbo93MDPe5QULh3jwiXyHvx84u3n/gAuZgoCAgOcYVBSj1Eb1uKbHwDcMqqrClQZMgYpjVJI0O/eaTVGn1Gu6ouzArdgga4PKC1nUAT3W2fQPcXPf3JcpylJ2tWWF88GImpps2A9Y1/QB1HRF58WJVFGiSlExdLHBtmL05IS4Bw67PvpyRr1wKq/BEBUVphsRtSJhNKQJem6r0COHO9N99kH1fdNiadFZRNQ1RL2YfMLIrnxhXs47cQfqZZGjNURKuStj466hGNNCBzx7AVXUzZ2DBV05J+6EDkxmiHqaKDOkS4pi3NDfqunt0iSTCaqwzb2dL3eYvvVsBIfJNfGaojgas3ZoK8d3TtBpw8oPLmAyu4GiZzJHakFXYDJFcTzl6KE5PnxsL+ftOMyB1Qnar54m7lpM7hqrZ/9lQTlH3LUoqzB9RdTX9Fcn2D81hms9NfbEmyKwDwICAgIEessU2mpJqRflYEG3DueqDZbJNaId21Fp4i12M1koN7ErdpvYLpu5OdQZC6heJjS/YtSu2JUl5LlYF58wXnc62Jeci+7mqKyUQCMfjBfb5cw3I55g/Qxkr7hQaIK9ErOeS3q7sQrOpLRxwjyUdSTOUl72EnovnCJeFbtinZXofinzyAsZuyr20VQWU1UYa0kqi7rgXA78xDZaRy3JmogRRevFYB69DLW8hipLTFkSFyUtH1jpyQnu+dVzSI6L3HG67EiXKqJe2cxDH8+JS5GP7pzweXznAy/BtmOSo4b2ovKWx7aZR3y8ROdD8xiyXb5v3wWc+c/u5msPnIU70CJZ0qTHaeaRrJSMP1Rs+nm0Xz3N137z93j3oZfw1UPn8vDiFswjLdKjimTFka7IPNpHBvMgy1FFSZl3eeh0/UdQVYj+9gmwmxx7BiIEBQEBAacMSilUHI9KCcOmzoh40SJA/BIiO6ArluXjclesmQ1k+Shd8URJ5LJurKvdFf0DO4dey3HtGHeiJLJSjzkPgGgtpxxPNqUrfq95mG5O1BvYLkexpyvCyaWda7XHfkF63JJNK2xsvKCP0BX1yeZRKgmSnKN1SJFPiSRyrVxoowF7QRsltMMhPYZaorq9qOnucqN0xUQokIBco7/5PNKjim8d2sFlZ9/HLfGZ9DptbGwAKTc81jziruXdh17CL83czPnt/fy/nYu4lTPoRSJtbKNN5uFLTJxG6+SQKQgICAjwcJXFKSd/iN2gl+B7BgZlCaWn8NWSyCC1dIbr9my8hk/tu5p2WDcvniiJDI07onJqYJCUFxAJ5W5EErked5J5yNgSnRlcojfQFeumwZPNQ2UVpi+yvVXbKwp6uuKJksgnzgNribvidGgjMVPSldAV64c/2TwAkhWH83LK+ZSID9WSyLraZB7Wih6DdcQrEK1oCm3IZypwXoa6Eh+GWmGxmQcDzYh4zXH08DgPtLcyP7XKYW3p2XF0ZsCJUuHJ5mFyx1cPncv57f1Mm3X+3txtHOpO8FC1lVzHorNw4jysE7PF8jQudT4jtQGBfRAQEPCcQ1WCTlCRwWlRkVMgfQQnW9SVp+bVFsGtFLQbSCLX14AN7orOaknJlxVKlwO6YiVCSTLuBHdFa0VMSXup4aKETDd0xWFJ5I3uisPzcKisxGhNRUw5FkEtiXyiu+Im81BFiemVOAX5dAQtGrpiw3o4yTxUWRGvVw1dsWpBUWgv6ys3qXs4NsxDKZI1i4s0+YQi2+LIJ5uWSFQZjdAum3nkBS6KSNYc5fEhuqL3WNCld0Zkk3lYB1FE3HPERyMeSbdwwRkHSKdLHiiNSCJbeVum0OhCGgdH5lE6Hl7cwp+2f4Cf3fZNXt5+kDu3LfCFMuKQmiQvU5FEPnEeSuGK0+ySuGmm4PQ9wveDEBQEBAScMriyBHKci1BxTCN6g3TAS3f/xoyBqypUOXBJJIkhigc77ZO4K9YL+wgrwbsrCgVyKAWPdL03ugR1CaF2Says0BXHfdNjbiR9fqK7or8PyqIyUeczXhK5HItxscZs5q544jzyArOeN81y5diArui0wvQH6osnSjtjLdGqd0mshuiKCknDR96uWGvIhssZUk5Il+tmwoEksk2GJJEVuN4J81AKpUvS5QprDDpX9Egp5kry8QpnYkCUD2v1xdrXoZ5HvG5pL0b0XModdoHZuRVecda9fNmeRy9tUbUMKJlHnOjBPDzDwDzS4pvs5khvnDu3LfCBbX/DTLTOFzsv4K5oOz3X2nQezp3GoCD0FAQEBAR4WNtQ7JzSsghG0UDgh5OVEpyvl2+kKzaLGYwsyk0a35cfhtPUDnBpDKUe7NahUTJsXBK1Hgkoan8CMVGKRULYOU50V3S1oVJRNoZONT3ORZqyExM/hruiAmEJ9EVVsKYrqgqKCZ+C97V+7dwGaWesw3TzhimhKgm+ijGprQu9MsZo8VqoaYo1oyNalwxFbZhkY0XVgv5WT0VE6I9OqdF5ANF6RRqJLLKoEkaU45ZivkBVsdzfgPJmCVE0mIfJHMmSE4EklXC4mOavS8MFCwf5TjxHL+mIF4MTpcJmHv6506OKXtTioWor/7OImYnW+eHOdzlz4Qh/pC7jW+VO+lGCNXpkHlSnM1MQegoCAgICBLVLYt0AGEWyuEWe/odf1H1tf3i3X5cRRpQPzWO7Kzo9dN9haWOvG4BS4q5YSyKfWJsH4ewPSyLnBlQsi+KQJPLwH/t6HiO8eaPRWmNbEcR61F3RDoSQ6nlgrfQzaNlNN6cmA3dFKocq7dB7c422gMpLdN+7K3qOfpVobARFR4uDYs3Ys3ZkHjoriWotBi2SyJmWwCCfrN0FNco6dBGNzMNklqgrctY20b7BT1N0KoopK+OcQud+YVaqmYcu7JBLogIVsaTHmZ9YZWa8yzEg64+jc/FgUHZoHkpYBlWqyLVIIn9x7AWcuXCErWaNn5i7g4PrEyzaKXJiTK4H8ziNLomhpyAgICDAwzlGXRIB5zQqTUedEa0Z2e2f1AxJlyJuVO+S/R/b4VIC9iQuiT4gIIk9lbDOVgz1GFgrNMb6en7ciLviUKagzkLUz9DMtVYwhIG74mQi6XMF2jKo79fzqCrxWFC1c6I8RGwU+YTxQjwS0Gg15K5YBwVZIeUBGOgFaPFIyCeVKPz5G6pa7dAHXrpXDH1geNEhkUTubXMoqxpBIeWz3nWPgel7/QUviQygSwXElLsy8jgCZUQS2WlvWuQVDytHvFrhlKhd6kqR2Zjvpts4b8dhFrYvc1uxi6xs44wEdaJUKO84XXEilWw1eZlwV7ydP1KX8RNzd/CWqQd4aMdW/kqfw34zTVak0qegGfQ6nAY4Z5vv6YnHnw0IQUFAQMCpQ1Vt7pIIqCiCk9IV3Yjyoexo5Y/rBnfFIXpcfY9N7ZrxGQkbNZLIG2h+nntfN8ONSCJbi7Y8Jl2R0msxnOiuWDlioGpFlBMJEWJLQCaiS1JKEE2F2lehlu4FUJWjHJJE3kjzExqmwksil7bJCpjCoQtNf2aI5mfUgOaXFaheJqWRciAipEuDyTU4RT4NZesEml+sRdq5X2BKK9LKJOhKXApV6XsMpiuKXTmoRLIXqW7UFaN+RbJSSKnEGUyG701o8Z1sOxNb13n52ffyV+ZsoSsmnq4YCSUxXZL3Y3KRRO65Ft8qd3JwfYKHdmzln83+Fee39/M/xl7KN/VuekboiobTFxRgT5IpCEFBQEDAcxLOih6AX+DqBdgpe/IeA+t360MZA5z24wZZgIauONxjULsknpihqDn9SJMjxmyk+TkL+WNIIvvavtN6lK44zN/3NokbJJH7tSujpurEI3L4yloR9rG1rPKQtLHWzcM4A2XH9xhoJFDxvgyuzEbGaS2Ngfhavo0VVQxuXNL4qnSSNXAOtd4b+AgoRVSXLxxY72BYJZBPiydBTfNTNpbmyKr0H4d3V3Tyjm2iAEPpFPnWqnF6xPqgI7OYfk7k+w6kaUAcJJ2OWbXj3NXaxs6ZZQ4aS5cxdB6BUyiraB8pm3IFgE0U/Shh0U7xV/oczm/vZ3u0zM/P38Jy3ubechuZiTG1W/PpQFXRpFeGsVnz4TMQISgICAg4ZZB6OQMb5Fo+uP7fKIJIwwl0RT94xIOgGTfcY5Bu7DGgVkw80Xa5HBgjNXRFraXHYKjhcIPt8vA4pYTimES4ZJSu2EgyV24QQAy5HZIbtFJYIqqxaNBjYIfeR1XJmKIYjDNaxIOgoSuKkZFpjIcoRG2xkVKmFurxIYJWxLEim9RUqbATTK6BSGr7dbYCv7wO9TQkEUJXnFTkk5BPqJo6gSoNSSklGw3QH2QBnJYeA3kHmnJnRjHpRYRKuX96HLFdNoOeBpQEIOKaGHEgmebFZ+1n+9Qqj1Za6IqVxvQVuldK1kTJ89gYrNHkLmG/meZ/jL2Un5+/hYvS/fzI7L0s91scYRLbPX1Nfs76APjE4yFTEBAQ8JzD93JJdLahKzqrRnbcj8tdUXvLZJ/Kd+BT+I/PJdHFkQQW1tfXa/nkE8fBhpIANV3RBwp1T4Gcaxsb5U1dEjehK6rV9VGXROdQNpIegzq1770Yyo5uSgkoRZSXA8bFkDCRhtGSQAX5mJQSAJJYAQmmrB0GvbuiUtL4WPmGUAc6H6IrxgOaX8e5xiVRA5GTZkRlI+kBKBjQFecL8jGErugUY4sa1c8wzkkJoRT9AaeixvOgb1NuZ4Ed80u87Iz7+Up1Lv2oTdTXIl2MFyYqI8B4rwVFVqZ8U+9mOW/zI7P3cu3cHcSq4qb2eXy3nDhFX/DHgcrCJkFBKB8EBAQ8NzHsklghQkEwKAlsQlfcMG4zd0Wn5Vp1j4GnK1Lko7bLm7kk+v+vfGbApbHc37kNGYoNzY4MFl6twcUGFyVNlbphQsDAXdG6UTc/xPHQJUJXjKwj0ho3EjC5gbuiD1a0c0JXrCJ0y5FPSilBd2MxaBp+P0PXMU5KBViHqgzKaYpxhY2kkz8tS5zTg6yH9oFI5QbZjgqhHRpF0RG6YiPMUxTyv96VEd9DgRKHQl3WssexuCvuyFE2obpPo7KimaexFmVjKdk449kCip5O2Z9vZbWfctHuR7g93kF/dQKyvNEsoHL1B4UqQVlFz7S4t9zGcr9FrCpeM/Etzmsd5IbyJTzwfX+xHyecQ9JBmx1/5iMEBQEBAacO9WLU2CCrk/QYbKQryi+H7JPVgJUAyGJlq0EpQUs5oA4kNtguD5cETqQrGiNjI7PRdrkuKZxIcwQZo2WhdKnnvo+ULoakhYdS+/gmP0uEailsGsl1mtLF0Dg1yKCgFTorm4W6Sn39PTVD48qN4wAdaYxWMgejqBKp4xcdPShf+HGq0E1woo0apSuuaqwR2+V8yjdZ+vuqQvompAESTOzZBsqPiyV/USSaYspStqQ5U2nlOy99T0NP+zqGwUVIuURFrOoxlifazIx32T81Jg2Wxsi9lBJhIuNzJFrGZUboije1z+O81kGmdZdXz9zOZ57YN/lJw1WVBL0nHg89BQEBAc8V1Lv9kkI2SareVfrAwC+wygHGoDDSRWcjVBJRqRJn843jnB6McwbljAQR1qAoIIlxqqRyxcZxTqGM/19/L2wkojoux8UxaEtls43jnNTGlTPgYrmfFWMd53JcEmFbEbrqi5Xz8Dhn/P8WklK3cg1HgSsjbBlRTsRoCqoqP/m4yj+nS7FVhCsMEJOPG4wpiKo+YOTZnZa5+WfFRjiX4mwERQRVhHYRxZiijKGwGcop/xlolCtkTBWBTXAuhzJClQbtIqJCYccV/a2O0uZQdKHSEtw5P66KcS6Xvoc8QjtDVCpsT2EzR7WzT6ZbFHlPPjuX46pYfsihilC5QVeGyCpsX2F7ju+6cZ634zCulVLmXfkMyghXxKJUWMUyrtAYNCYH23V8t5zghvIlvHrmdn5aHRn5nj6VKGzOgLg6QHk6TZm+Dyh3Ot5SQEDA32o88sgj7N69++l+jICAx8TDDz/Mrl27npJr9/t9zj77bA4ePHjSc7Zv3879999Pq9V6Sp7hVCAEBQEBAd83rLXcfffdXHDBBTz88MNMTk4+3Y/0jMDKygq7d+8O72QIT8c7cc6xurrKwsJCI/j0VKDf75PnJ+c/JknyjA4IIJQPAgICTgG01uzcuROAycnJsACegPBONuJ0v5Opqamn/B6tVusZv+h/L5xGmaeAgICAgICAZzJCUBAQEBAQEBAAhKAgICDgFCFNU6699lrSNH26H+UZg/BONiK8k2c2QqNhQEBAQEBAABAyBQEBAQEBAQEeISgICAgICAgIAEJQEBAQEBAQEOARgoKAgICAgIAAIAQFAQEBAQEBAR4hKAgICPi+8bGPfYyzzjqLVqvFnj17+PrXv/50P9Jpw3vf+16xOx76eeELX9j8vt/v89a3vpWtW7cyPj7Oz/3cz7G4uPg0PvFTg5tuuokrrriChYUFlFJ85jOfGfm9c473vOc97Nixg3a7zd69e/nud787cs6xY8d4wxvewOTkJNPT07zpTW9ibW3tNM4iIAQFAQEB3xduuOEG9u3bx7XXXss3vvENLrzwQi6//HIOHTr0dD/aacOLXvQiDhw40Px89atfbX739re/nf/v//v/+OM//mO+/OUvs3//fv7+3//7T+PTPjVYX1/nwgsv5GMf+9imv/+t3/otPvKRj3D99dfzta99jbGxMS6//HL6/X5zzhve8Aa+/e1v8/nPf57/8T/+BzfddBNvectbTtcUAgBcQEBAwPeBSy+91L31rW9t/l1VlVtYWHAf+tCHnsanOn249tpr3YUXXrjp75aWllwcx+6P//iPm2N33nmnA9zNN998mp7w9ANwf/qnf9r821rrtm/f7n77t3+7Oba0tOTSNHX/+T//Z+ecc3fccYcD3C233NKc8+d//udOKeUeffTR0/bsz3WETEFAQMCTRp7n3Hrrrezdu7c5prVm79693HzzzU/jk51efPe732VhYYFzzjmHN7zhDTz00EMA3HrrrRRFMfJ+XvjCF3LGGWc8p97P/fffz8GDB0few9TUFHv27Gnew80338z09DSXXHJJc87evXvRWvO1r33ttD/zcxUhKAgICHjSOHLkCFVVMT8/P3J8fn7+MX3l/zZhz549fOITn+Bzn/scv/d7v8f999/Py1/+clZXVzl48CBJkjA9PT0y5rn0foBmro/1PTl48CDbtm0b+X0URczMzDyn3tXTjWCdHBAQEPB94Kd+6qea///Sl76UPXv2cOaZZ/LpT3+adrv9ND5ZQMATR8gUBAQEPGnMzs5ijNnQTb+4uMj27dufpqd6ejE9Pc3zn/987rnnHrZv306e5ywtLY2c81x7P/VcH+t7sn379g3NqWVZcuzYsefUu3q6EYKCgICAJ40kSbj44ou58cYbm2PWWm688UYuu+yyp/HJnj6sra1x7733smPHDi6++GLiOB55P3fffTcPPfTQc+r9nH322Wzfvn3kPaysrPC1r32teQ+XXXYZS0tL3Hrrrc05X/ziF7HWsmfPntP+zM9VhPJBQEDA94V9+/Zx5ZVXcskll3DppZdy3XXXsb6+zlVXXfV0P9ppwa/92q9xxRVXcOaZZ7J//36uvfZajDG8/vWvZ2pqije96U3s27ePmZkZJicn+dVf/VUuu+wy/s7f+TtP96OfUqytrXHPPfc0/77//vu57bbbmJmZ4YwzzuBtb3sbH/jAB3je857H2WefzTXXXMPCwgI/8zM/A8D555/PT/7kT/LmN7+Z66+/nqIouPrqq3nd617HwsLC0zSr5yCebvpDQEDAsx8f/ehH3RlnnOGSJHGXXnqp+9//+38/3Y902vDa177W7dixwyVJ4nbu3Ole+9rXunvuuaf5fa/Xc7/yK7/itmzZ4jqdjvvZn/1Zd+DAgafxiZ8a/OVf/qUDNvxceeWVzjmhJV5zzTVufn7epWnqfvzHf9zdfffdI9c4evSoe/3rX+/Gx8fd5OSku+qqq9zq6urTMJvnLpRzzj2tUUlAQEBAQEDAMwKhpyAgICAgICAACEFBQEBAQEBAgEcICgICAgICAgKAEBQEBAQEBAQEeISgICAgICAgIAAIQUFAQEBAQECARwgKAgICAgICAoAQFAQEBAQEBDzjcNNNN3HFFVewsLCAUorPfOYz33PMl770JX7wB3+QNE0577zz+MQnPvGE7xuCgoCAgICAgGcY1tfXufDCC/nYxz72uM6///77+emf/mle9apXcdttt/G2t72Nf/yP/zF/8Rd/8YTuGxQNAwICAgICnsFQSvGnf/qnjU/EZnjHO97BZz/7WW6//fbm2Ote9zqWlpb43Oc+97jvFQyRAgICAgICTgH6/T55np/09845lFIjx9I0JU3T7/veN998M3v37h05dvnll/O2t73tCV0nBAUBAQEBAQHfJ/r9PmefOc7BQ9VJzxkfH2dtbW3k2LXXXst73/ve7/v+Bw8eZH5+fuTY/Pw8Kysr9Ho92u3247pOCAoCAgICAgK+T+R5zsFDFff89W4mJza2662sWs675GEefvhhJicnm+OnIktwKhGCgoCAgICAgFOE8QnF+ITacNwixyYnJ0eCglOF7du3s7i4OHJscXGRycnJx50lgBAUBAQEBAQEnDIUrqLYpH+/cPYpve9ll13Gn/3Zn40c+/znP89ll132hK4TKIkBAQEBAQGnCBZ30p8ngrW1NW677TZuu+02QCiHt912Gw899BAA73rXu3jjG9/YnP9Lv/RL3Hffffzzf/7Pueuuu/i3//bf8ulPf5q3v/3tT+i+IVMQEBAQEBBwilBiKU5y/Ingr//6r3nVq17V/Hvfvn0AXHnllXziE5/gwIEDTYAAcPbZZ/PZz36Wt7/97fzO7/wOu3bt4vd///e5/PLLn9B9g05BQEBAQEDA94mVlRWmpqb4zp3zTGzSaLi6ann++YssLy8/JT0FpwohUxAQEBAQEHCKUOAoNikVbHbsmYgQFAQEBAQEBJwiVE5+Njv+bEAICgICAgICAk4RShQFGymJ5SbHnokIQUFAQEBAQMApgnXys9nxZwNCUBAQEBAQEHCKkKPJN2H7n9wR4ZmFEBQEBAQEBAScIhROU7iNQUERMgUBAQEBAQHPLVRoqk0yBSe3SXpmIQQFAQEBAQEBpwjlSTIFZcgUBAQEBAQEPLdQOU21SVAQKIkBAQEBAQHPMRRoCswmx58dCEFBQEBAQEDAKcLJMwXPjlRBCAoCAgICAgJOEUrMppmC8ml4lieDEBQEBAQEBAScIoRMQUBAQEBAQAAAhTMUbpOegmdHTBCCgoCAgICAgFOFk+sUPDuighAUBAQEBAQEnCIULjpJpiAYIgUEBAQEBDynYIFqkwDAnv5HeVIIQUFAQEBAQMApQuEiIrdxaQ09BQEBAQEBAc8xWBSWzTIFoXwQEBAQEBDwnELuIswmmYI8ZAoCAgICAgKeW7BOYTfrKQiNhgEBAQEBAc8tlC6i2CRTEFwSAwICAgICnmOoUFSb9A9sduyZiI0KCwEBAQEBAQFPCoXTjarh6M+TW24/9rGPcdZZZ9FqtdizZw9f//rXH/P86667jhe84AW02212797N29/+dvr9/uO+XwgKAgICAgICThGs0yf9eaK44YYb2LdvH9deey3f+MY3uPDCC7n88ss5dOjQpud/6lOf4p3vfCfXXnstd955J3/wB3/ADTfcwL/4F//icd8zBAUBAQEBAQGnCOWmWQJDuYnK4ffChz/8Yd785jdz1VVXccEFF3D99dfT6XT4+Mc/vun5/+t//S9e9rKX8Qu/8AucddZZvPrVr+b1r3/998wuDCMEBQEBAQEBAacIhTUn/QFYWVkZ+cmybNPr5HnOrbfeyt69e5tjWmv27t3LzTffvOmYH/7hH+bWW29tgoD77ruPP/uzP+M1r3nN437+0GgYEBAQEBBwinByQyQ5tnv37pHj1157Le9973s3nH/kyBGqqmJ+fn7k+Pz8PHfdddem9/6FX/gFjhw5wo/8yI/gnKMsS37pl37pCZUPQlAQEBAQEBBwilA6g9mkVFA6cT94+OGHmZycbI6naXrK7v2lL32JD37wg/zbf/tv2bNnD/fccw//9J/+U/7Vv/pXXHPNNY/rGiEoCAgICAgIOEWonNrUEKk+Njk5ORIUnAyzs7MYY1hcXBw5vri4yPbt2zcdc8011/CLv/iL/ON//I8BeMlLXsL6+jpvectb+Jf/8l+i9ffuGAg9BQEBAQEBAacIlTWUm/xU9ok1GiZJwsUXX8yNN97YHLPWcuONN3LZZZdtOqbb7W5Y+I2R+zr3+NSTQqYgICAgICDgFOFUihft27ePK6+8kksuuYRLL72U6667jvX1da666ioA3vjGN7Jz504+9KEPAXDFFVfw4Q9/mB/4gR9oygfXXHMNV1xxRRMcfC+EoCAgICAgIOAUobQavUlWoLTVE77Wa1/7Wg4fPsx73vMeDh48yEUXXcTnPve5pvnwoYceGskMvPvd70Ypxbvf/W4effRR5ubmuOKKK/j1X//1x31P5R5vTiEgICAgICBgU6ysrDA1NcUv/uXrScaTDb/P13L+6FX/meXl5cfVU/B0IWQKAgICAgICThEKa1CbZAqKJ9hT8HQhBAUBAQEBAQGnCJaTWCc/SwyRQlAQEBAQEBBwilA5TbmJz0H1JA2RTjdCUBAQEBAQEHCKcDLzoydjiPR0IAQFAQEBAQEBpwil06hNAoDNsgfPRISgICAgICAg4BTBupP0FGxy7JmIEBQEBAQEBAScIpRWo+wmmYJNjj0TEYKCgICAgICAU4SQKQgICAgICAgAxPhos56CzUySnokIQUFAQEBAQMApQsgUBAQEBAQEBAC+dyD0FAQEBAQEBAQ4p3CbZAU2O/ZMRAgKAgICAgICThFKpyHoFAQEBAQEBARUJ6EkVqF8EBAQEBAQ8NxCKB8EBAQEBAQEAMIyqGxgHwQEBAQEBDznYVGoTWySg3VyQEBAQEDAcwzVSSiJoacgICAgICDgOQbn5Gez488GhKAgICAgICDgFMGehH1gQ6YgICAgICDguQXrFCrIHAcEBAQEBARYC2oz9oF9Gh7mSSAEBQEBAQEBAacIz3adgmdHkSMgICAgIOBZgNolcbOfJ4OPfexjnHXWWbRaLfbs2cPXv/71xzx/aWmJt771rezYsYM0TXn+85/Pn/3Znz3u+4VMQUBAQEBAwKmC8z+bHX+CuOGGG9i3bx/XX389e/bs4brrruPyyy/n7rvvZtu2bRvOz/Ocn/iJn2Dbtm38yZ/8CTt37uTBBx9kenr6cd/zac0UPNEIKCAgICAg4JkMZxV2kx+3SZ/B98KHP/xh3vzmN3PVVVdxwQUXcP3119PpdPj4xz++6fkf//jHOXbsGJ/5zGd42ctexllnncUrX/lKLrzwwsd9z6ctKKgjoGuvvZZvfOMbXHjhhVx++eUcOnTo6XqkgICAgICA7wt1T8FmPwArKysjP1mWbXqdPM+59dZb2bt3b3NMa83evXu5+eabNx3z3//7f+eyyy7jrW99K/Pz87z4xS/mgx/8IFVVPe7nf9qCgicaAQUEBAQEBDzT4XxWYLMfgN27dzM1NdX8fOhDH9r0OkeOHKGqKubn50eOz8/Pc/DgwU3H3HffffzJn/wJVVXxZ3/2Z1xzzTX8m3/zb/jABz7wuJ//aekpqCOgd73rXc2xx4qAsiwbiaastRw7doytW7ei1LOjozMgICAg4OmBc47V1VUWFhbQ+ineC3+PnoKHH36YycnJ5nCapqfs1tZatm3bxr//9/8eYwwXX3wxjz76KL/927/Ntdde+7iu8bQEBY8VAd11110bzv/Qhz7E+973vtP1eAEBAQEBfwvx8MMPs2vXrqf0Hs5t3j9Qlw8mJydHgoKTYXZ2FmMMi4uLI8cXFxfZvn37pmN27NhBHMcYY5pj559/PgcPHiTPc5Ik+Z73fVawD971rnexb9++5t/Ly8ucccYZvOh11xDrFspBFUPZVuTTkG+x2HZFfDxi/EFQFZhCxlYxlB1FNg3lpMVGjvYBQ7Lq0PnQeQkUHUU+BdWYAwvtRYUuwfTd4LzUnzcJNnXoTJGsgi4g6jl0CU6BTaAYUxRj4AzEa2D6YDJH1HcoJ+eVLUUxpig7oBwky06u1XfoQs6zkWrOq1IwGSRrDl06TCb/65TCxoqyrSg6Su657n9fOEzuz9OKKlWUbU3ZAhQkqw5Vuuae4HBGUbY0VUtRJfIeoq4duqf171dTtTRVW2GNwvRtcx1dWJR1oKBK5Lwy1aAgXpNr6cKiCytC4UZRpYaypbGxQlUQdytU6dB5haok9HZGUbUMVWpwkf988gpVWHQp93SAi42cl8g9o97QOaUFCxiwscGmcp6qnJxXyTnKz9NFujnPGYXOLTorUdahikqu5e/pEjkXDbrnzymtnAegFC422FjjYgPOofsVyvpzKn8xo/31DNZodFmh8kqeqawG4uqRac5DKVRWDs6xFuXk+4ExuDjCxQblHCorwDqo5N44B1rjjMElMRgl1ylKuU41dE+tcVEk99YalReDcyp/LaXk98ZAJH+06vOo7EDdZfg8Y+R56utYK8/o3wfG31cpVFkOzqkszjnJJBot9zPybilK+V9/DtaBVqjIgJZr4hzkcp6rLLj6MzAo7a+nlbzT+jr1+1AKlJbrGb8rLavRc+rztEH5eWAdrqzkXsNKN8PnKYWzdnAdO1QrVto/v18Qhs+xQ1tX4+ep/LNVpb+nk2cE/96Mn4sauY68Mwtay3lang/YeE4Nrf3z6+bZmnPq75BSg/Ng9DrDxgH1ef7erv7MN7knxqCUonQ5X179NBMTEzzVOFU6BUmScPHFF3PjjTfyMz/zM4BkAm688UauvvrqTce87GUv41Of+hTW2iYj8p3vfIcdO3Y8roAAnqag4IlGQGmabppiWf2BFOY1SgGrEa1DhvFFR+ceS3qsoJiI2P8yQ7mtIBnLqSqNPZ7SOmCYPOjo3F2RHi848qIWSz9U0p7t0k5z1nsp+eEO7UcNUwcd7bsqovWKR/YmcNY627esYrTl8Oo43f3jzXmdIxXFmObA5QU7dxznjInj9KuIe47NsvbwJJ1H6vNKls6NWX5Zxty2VaZafZZ6bY4cmiR5NGZsP0w/ZElWKg78nYT+2RkTW7pE2rKy1sYdbNHZr+ksOtqPlDitOPDDhmJbQTKRYytNuZzQOhDROeiYOiLvY21nyrEfVBQzJapV4TJDfCyivajoLFomDlbEKzlHLuywthvKKYszDrOuSY9q2odkjumiRESHfnCM/qyj7DhwEK9qWkegc9gyfqwkXsrIZlscuyAmn3ZUqQRLybKidUSuNXa4IFrNWH7BJMs7NcUEcs+eIl1ytI86WscKksM5WMuxF0+SzSjKNuAg6kLruKN1rGLseI5Z7VNOtlg+b5xsSmET0CXEa47WcUt6rKR9PEOvZ/TOnGZ9e0QxrrBGArRk1dE6XpEs5ZjFDFVVrL1gC/1pI0ETEPUgXbGkSwXJSoZe7eM6KWvnzJCPa6oEH8A40uWKeDknXemjun2KHdP0trcoOj5oyh3JmiVZKUiWM9SxPqqs6J89SzYVUbbkD0mUOeKVknglx6xlqG4Pl8T0z5ihHDdUsUJZiHqWeEXeqVrLUL0Mu3WSbEeHqm2wkUIXjqhbEa/m6LU+aiWDoqTcuZVyIqFqyR8TXTiitcLfL0Ot9CEyFAtbqToRNpbFM+pXmDX/XP0M1+/B1ATltnGqlsEaha4cplei13J0tw/rOS4vYNsM5WQLl2icUhIUdgv0eh/Vy3DdDKUUdn4G246xkUY50HmF7uaobh/6GS7PUZ0OdnYCm0Y4o1GVD9S6Gaqf49YzKEvYOo0ba0kwpBSUFp0VqF4m1+rn8kFv3YJrxRKoWVBFher7a2U5FBmq1cJNj0vQFGkJhLISleVyrayAokRNTuA6LYgjnFKoqpIgLMtxWSYBiHWoLVO4NJGgwzkoK1Re4PoZ5AWuLFBJjJqcxMWRLHzOoYpSfp9lkBW4qkKNj6HaLVzkg8NKAjqX5/5cmaeenIAkHg0m8kLOK0pcWaKiCDU2Luf5e1JW/j3kuLyU4K3dRnVSiCIJFioLZYkrCvm8Kx+Yjo+h4tF7urKSaxVyLbRGjY0NgjXAlX6epZzj8gqVJKixVhM04Zz8vixxhfzoaijYearhlPxsdvwJYt++fVx55ZVccsklXHrppVx33XWsr69z1VVXAfDGN76RnTt3Nn0Jv/zLv8zv/u7v8k//6T/lV3/1V/nud7/LBz/4Qf7JP/knj/ueyrnhEOz0Yc+ePVx66aV89KMfBSQCOuOMM7j66qt55zvf+ZhjV1ZWmJqa4uUvfw/V3AS9rZruvKK/zeImZcFSKzHTdypmv9Uln0rozxi685redkc5l5N0CqrSYI8m7PgKtI6WZFsierOa7g5Ff0dBZ7ZLGpesdVPsox3O+IsSGyt6WyO684rugiVa6DI/vYpWjsXlCfibCXb8r4xsS0R3ztBdcBS7M3ZtP87C+DLdMuHeI1tp//kkkw/k9LfG9OY06wuOcmfGtrkVxpKc4902x/dPcdafSuSbbYnobtN0dzjKHTnj012Mcqystmnd0Wbnl9YpJv08t8k8i7mCZHwQDM3/lWLigV7zPnrbNL15J0FCWuF6EckRwxmf76NKRz4V09sa0ZtT9Lc5iskKNJg1zcQDmvm/WsZ2YvLpofO2Oqq2Q1mIVzRz/6dk7IE1yvGEfDqht9XQn1Vk0w4bS5CQHlfs+OoqOq8oJ1KymZj+FkN/q6IYB6clqzK23zH79SPYVkI1mZBtieltMWRbFFULCUzWYcvdOe0HlrCdlHIqJdsS05/W5JM+SCggWXHMfmMZ1cux4ynlpD9vSlOOSZAQ9R3tI5apby7i0hg7llJMpuTTEdmkZFaUkyBh8sE+yYNHce0UO96imEzIpiOKMQkSdAnxumXq28dlsWunVOMpxWRCMRlJNkfLgt06XtH59gHZLZ9wXpn6IKHv6DzaJXr0KCQxrtOimpDzyo4eBAldS+eeo7J4pgnWn1eORU2QYHJLvFKS3HNA/viecJ5NfZCQWdLDXdT+I6g0wbUSXCelGkubIEFZh+lVJA8fxa33BueNtag6CbYOEkpHtF6gH5CGKZUmuHYq1+skgyAhr4iOd+HgEUhiVDK470iQkJWYg8dx693Bee0U105Gg4RugTpwSHbOSYxqpbg0wbUTXCJ7JFVUqLUeHDoqO800gTTBtVJcGjVBgs5L1NEl7HpXFuo4HjkPpaBykg05dETuGUdyXiuVQGI4SOj2sUeOoYyR8xJ/3yQeCRJYWsWtr6OiaPS8OkiwFlWU2KPHZaGOIplr/XzDQUKvjz2+JPM0Rs5LU6ivBbL4rq3LuzUGFUcQRXJevWD7DIxdWpYFvT4vTmRRHwoSXJZjV1aabMTIecNBQq+HXe/5TMoJ5/l5Omtxyyu4yg7OSxJ5vqHMSln0uPHoH7K8vPy4UvdPBvW6tPv33otutzb83vb6PPzL733Cz/C7v/u7/PZv/zYHDx7koosu4iMf+Qh79uwB4Ed/9Ec566yz+MQnPtGcf/PNN/P2t7+d2267jZ07d/KmN72Jd7zjHSMlhcfC0xYU3HDDDVx55ZX8u3/375oI6NOf/jR33XXXhl6DE1G//PN/5YMkLiVZc5Ia79fpaYWNFPmEZm23lh3luqTF467FZE5SqFrOW1swZDOgSkhWZcGIehZTyKuxkZy3dJ6maskuNlnx5/UdunJSIogU+aRi5Rz8AqVIliFedUSZLJTWyHnrOxW9eet3zppkSZ7P5KPnHXupoxqz6K4mPaZJl2TXK3OQBbM/rVm62Ef9KxHpEU163JcL8kFp4vgLNfYFa5R5hDqa0DqsSY874nWa0oTTcOhSsFMFqitBQuto/U5cE3HnY5ojP2QlDb+qSY8q0uOOpH42n65cOSNi9RyLLhTJkpyTLsu1TG6l+UbB4ZfGFFP+3S5BuiQ76KhnmzJB1dYceUmE05IhSI870hVHvF6hM4vymcPu9piVM7UEJqvQWrIkqxbTq9ClfPYAx5/fIptSUn5ZcaSrlnitwmRSogCwiebo+S2ckXJQuuKIVyuiXiUlDD/PbCZl5YwIXUHUdaQrlmi9wvTLQTkEWDtrjP6UxhSQrMn9ovUSnVfgSxNEmuXzxrCRkgzBWkW8WmL6pZQT/LXKiZT1XS35rnXlflG3QPdLKG0zz/7OCfJJIwtx18r9uoUsfjVVSWu6Z01iY4XOHHG3xKwXqH45SN0DdqxFf6EDDikNdQt0r0Dl5UgJo5ybpJhKUKWVd9Ut0PWu2V/LaUWxYxqbaHRu5V11ZRerhq7l0oRiu6R9dVbJ/frFoPTgPwO7ZZxysoWqHLpfyu6/n8siVZdglKLaNoVNInRRyfyyXK5VDaWp44hqVv5wS4bA36/exdbPNjGGHW9L+SUv5X6F7FJxrilhuC2TuCSS8kvur5UXUgrwz68ig5uZkvv7DEGzK7auKWGodhs30YFKFn+KEorCp9EH5QQ1OSEBhbVD16pGywlGw7SfZ2UH9zvhnqQpaqwzCEyKerdum9IDWqHGxiSgcG5wv3JQnpAPUaEmJpryS3O/qpI51M+fxKh227+PcrD7r8/xpQLV6aD8PJv7VRVuiIZXupwvrv/n0xMUfOx9Jw8K3nrtU/oMpwJPW1AAjx0BPRbql3/xz3+AfEdH6vmJQ+eyWLeOWtpHK0y/IpuJ6c5q2XVOOFlQeor0OLQPW1rHSlCK7pzsdLOtjtL3EAynw9PjJcWEoTun6W1TZDMWl1pUoUiOGdqH5Lx4vaI7G9HdLpmLarpEGYfrGtLDEe1F6ByuUA7Wtxu6Oxz5tpJ4IgOnKJZTWgcj2gcdnSOWfFyzvkPR21kRz/UY7/Tp5zHdIx1a+2M6B2Sh6m7TrO90uF195rcu04pKjqyNsbI4TvsROU9VsL5L0dtdMLdzibOmjgFw/9JWjjwyTfthKTc4g2RLdhZs2b7C1rEua3nCoSOTmEdbdB5VtI9asklFd4ci21EwNtsljQtW11uUh9q0DxjGDjjirqM7K5mLbL4knsxBOYqVlGQxonNA0Tlc+c9A093uyGcrVKfEFRpzPKZ9SNFZlB100dGSCdnmKKYtLnboviY55ssbhy1R15JNG3pzmv6soxiXPoZoXdE6quRzPyqfQW+roTerybdA2fIZjlVF+4hkCdKlgrJl6G819LZqikmwsfSOpMvyXWsdK4nWS4qpmN5MRLZFekdQkuFIjzvaxyrSpQIqRz4tmZpsSjIcykqgly45WselRGAjTb4lob/FkI+rJqsyUt7oFVTjCdl0TDZpKDuDrEq6Kt/ZeCWH0lJOpeRTEfmEpkyVz3BIeSNZLjCrfVxsKCckE1L4bIMuHcm6JVkuiVYydK/AtmPKyZR8MqJsa5wCUzjiNUu8nGNWpexSZ1bKMUPZknuaviNZLTArOXq9D0ZLZmUioewYCUpKyTbEa4Vcq5fhWgnVeEo5LuUNyapIgBOt5ah1Kbu4TotqLKEai6lS2V2bzEpWYj2TjIlSg/M6MTaSrIrpl5h1f62sgDjCdlrYToxt+x19aTG9YlC6qKxkLlqpnJfIbkzKG4WUG3qZ3NNnOFxaZzgkeFG9HNXPIMshipoMh0t8tsFaf56c48pykDFJE8lcgGQb+lIGcblsEobPwyhfaqgkeOlnuKJodteulUjWSSnpKcmLQanEVrL7rjMcPtvQBC/1tawbZFaGSg2qrAYliyL3O/94kOFQ9bOVvqTig7k6s5ImgyyC9WWQTEoqwCBj4vtamvJGIcFQUXT54uonT0tQsOujJw8KHvnVEBQ8Jahf/o+99B2YVoeqE1GMRWTThv60pvQp57FHHTN/syxNYWlEORaRTxr6WzTZtNSllYW520raiz1srKlaEcWEIZsy9Gd8o2HqiNYVO2/qoUqLTQ1l28i1ZhT9GUUx6XDGMfaIZv7r67hYU6WGYtzQn9KSMt/qKMeloW3uFs3kQ31pzGsbsklNf0bTn3PkWy2uVaG6ht1/4TD9CptqijFZSHqziv68xW3J0bFFP9Rm1xcLaUBsa/JxTTajpDQwn9OZ7OOcIvpfk8zcVVClmqKjyKY0/VnoL5SMbVtnutNjqdtm4o8nSFcqqkRTjPnz5qC/vSSd6RHHFeuPTHDGn0umoEo1+Zi80/4sZNtKjC/jdL7RZuaOAjSULU3RnOfn2a4g02y/SZMuVdI0mCqZwxYpRxRTsvinhw07/qpomi2rlsy1P6PItiDvFpj6jmLLdzJptky0vJMJTX+LNKJWbWkqnb+lIlkqcEbOK8ZMc14xAS6CeAXmLAgPhgAAWMtJREFUv96VZkWjqVJNOW7IJg3ZtF/8gYmHLFPfXQetsJHGpka+R5OGfFJRtqSEsPX2jGRJFgkba6p2NDhvXOEiiNYds/9nFVVa/2yRfMcnDNmEkX4KBWOLFWP3rQDgjMG2IrnepPG9DbLYTX+3R7TUk+bCSGNbEWUnppg0FB0tGYm+Y/KOJckK1I2P7VjOm5BmTxS0jpW07j8mf8SNxiVRc145ZqhSuefYQ+vopfWmKcylEbaTyHkdaQjVuaNzzzFUUeJ86nf4vMrfM14uSB6RAFYaGg2uFWM7CVU7koZQB+n+NfTymm9809JEWZ/XiqQhtLQkDx6V3W4zh1jOa8XYNJIS2XqBOeDvWTc+Dp1XL8TR4VXUylozT+JI7ttOmsVflxZz4BiuKAYNfPX1hhZ/1StQi0f9PJU0NCaxnDe0+JulNdzqmn8239DozyOJcZGGyqGPHJdFEaRRcfi8OBo0hB4+1txzw3l1Q+haD7e62tyTKBqcF0cyJ2vh+LIs1FqaLTFaFvX6PKXk8z62NPiDbszIec3i3+1h17v+I1Cj50VR0xDqVtYGQZDxDaBRNDhPK8qixxcevf70BAUfef/Jg4J/8p4QFDwVqF/+S676dUzaanZGyVIpzVPdHLKcamacoxeOyy7FSjo9XZbdX7RWNKnKtQtmWT4rwsZgckn3t5ZOOM85Fn9kK9mMwinfbLbkaC1VJEuyW9G9gmKmw8HL2k3AEa1D65jf3S37XU2/ZOkl05LOrzMcy9A6KjvKeLUkWi+gtDy6d4reNgk4oq4iPSa72NbxwXn5lpSHfyymnKxQVhGtaFpHFO3D/rw1Oe/IheMcvbiC1EKuiY8b2odk55wuWeI1SWM/+NMdyjP6aOMo12PiIxHtg4r2EUtrSa6XT8Y89LOW8S1dnFOsH28TL8Z0DkgWIV2S5zv0g23cq44z3e6znsccOzxJsj+m46+XLEsq/t6fj3j+C/YzFmccWJ/k4IEtpI/Ect+jlnS5omop9v/Dgvmty1inOHJ8AnegRfuApnNo8E6OPz9l+Ud7dDoZeR6RHW1L0+Wio31UvidRt+SRHx+jf14fE1vKbkR8xN/vsJVrrRS4SPPga1LKGfnjqlcjWoc07cP+Wv4zXd/d4eBliqpjUYWWZsrDSrJMS9LAaboFh/ZMsXK2ZLZMX5Eel6bLOpNg1nJQikd/dJJ8i5Sl4jUpu7SPOtIl2f3rbk4+O8biD6WSbaiE0dI6Jk2XyVKOWS/Q/ZzlF8+wcpbBRvL9TlYcrWN25Fo4x+E9W8mn6++3lHnS4xXJim827OXYqQ5HLjrJf1Mrmeyg+zm9c2dZOTPBRb4st1Y/u9/99zNUZVm5aDvZlGQbosyRrErTpVnJ0d0MleW4TovlF22hSpWUSnpDTZfrueyg84Jy11bWd7Vl51854nXfdLmWS7NhlkNZ0X/BDvLpSDIcuSNa902X61lzLZKY7vPnqFpShjKZHW26zHwj3uwWersmcJGwY6JeiVmTdzrY2VdUZ2+nmExwRno4Rpou/Q5aRYbinO2S4QBMVg2aLjP5m+aKAjU1SbFjGhdJz4Kc5zMXuW/oK0tY2EY51Wr6B3SvGDRd5rmcoxRu1zy25fspsgrdH3r2Qq6lxsaotm0ZaqY8oenSp/f13FbsZGeomXKo6bLw5RetYH5O+i5AmDh9P7+8kGbDyqJaLZidHulZUHkxeC7fBKlntuDG2k3PwkjTpW82LMseX+x/+vSUD647eVDw8NtCUPCUoH75r/qBd+JmpkYav0AW7NZyRetQhlnLqCZa5NPSvJZPDCh18ZqjtVzReUSi0WIqpT8T0d+iKcaFxmcyoQW2j1a0D6xTtWPyLQm9GWlwKzv+nr7GPXawIDmeUUyn9LdE9LZq2Z22HKoUumLrqGPioQxVObKZWFLYc5JtkC54RboE7UOWiQf7lGMR/a0R3TlNtnVjOnz8UUv7UC6Nd7Oa7jZFttViOxZVKeIlTeuQYvq+ElU6+v//9t482pKyPBd/vpprz3ufsc/pEQQRZJKGvohDElmgcTkmN8oiyCKuZGnQqBCDXgOYa5QpGo1yQf0l0d+68ZJ4f+q9eoUEmYSIgA3IaIM0TU9nPmfPu8bv+/3xflW1d/dpoE0P51y+Z629FuzzddW7a++qeut9n+d5hyQZcUwgqkVgliQZLuhwpxkqvw4R5TRqlYwzeOMRzLJPZf+WDWuWpJ7FPRGRLscZums4tDEPxUIPYayjvZiDNWWisg0wPJ6RLtcGGB5pDigu7F0Wak9xRC6jVsnaGOW1DWyqLsDSY+xqVbB3Tw25X1uo/SqGV9Von2sjFNa0MVpsI4x1TC+WwPe4qD7F4C7G6A7r6I4z9CYjOMM95BwfXc+GN+/C3WNg+HFSblDbgj6nUQmg6RxB24I5ZyK/k6G2zYdfkSTUcQZ/JAYKEQRn0BqUJFSe43DmQ/g1Y/kW05IGd4ah9isy4fKGZFtrBAhLnH5rPUr68lMcped68nun79SvgdpaAjDaDM6CQGlnBHvRl8RRA96QBr8spbEhIz7FgkD5Oap0BBUbXk2HV9MQFiB/a5Tc5uZj5He06fedtDcqGlUl5O/bqXPkpwKYC13EBZvWVakSElsMWizPqXqM3AsdsDjOzr2KjjBP55QWAHZLwF4M4expQliGbFtYCEoaQjcjU9oNDmfeg77Qhsg7tK5sIihqcp/UojKbEZypNpHd8g7ikoWgaCLMa7TPkJIEqxHCnKpDGDp4kbYXFgzEjkyGPAGzHcFc8qAttagtULARFakNEltEpjR6lCQYcy1SB+Qc8Dy1NyJXylQjQUlCM4A+V0+Jo7zgIMqbiG0iwmkBcTP0Rg+s3qKSutxenDPADeJF6X4MvRNAq7ep1eDYtK6vEsJiQdyMjg+22KAKRt86bukQDNAiShK0Vg+i2SLSoCR7ctcET2WqMklodiB8f3CdkxE4kyQB9SZVLyTBFLYFblH1hW7+IVjXg2h3JFkxWycMIjYm7Q3R6QK+T+RCu6+9oVHrJW1vtDvEWbBtaoPYVAkhoifxKaJuCz+Z/saRSQr+9nMHTgo+caVKCg4HkoP/W2f+F5iwBrXjtpFq0bWQQ/eIDNZP9uKmDu7o6cmbEtAi0qxDloqFpSFyqW8KAGYrAuOAFnOwUO5Tp/J/lNNon5LMxbiAFkiSnAZwQ0Pk6gjzGrhBTzu6z8FipPp98gygEnvSq7VbybbIVwAAuM4Qu1Syj53kSYxDi6kky2JKGrjFEOaoBRBbLPMpiAT0kDgGQgcim9aEBQah0U2CvB0GvRFClyEsSg+FiJIlxukJj0lOT2xRST0skYeC0SHinRbRUyqL6XNGLhAWqUzPDQF7UXpA+FTaZwLgJnlAhCUgLNC+nHkGFknfhv51edpW5AoYPSIPaoHcd0jrYguIEq8IA2ChrOb0aJ0eZJ4SUY5iFAzp067ZoSdjLRxcF0v5r9DoJmu2BQwv+6yxQ/4TQgqAkydxs4OMWGrQmkSCKPRM1mj06PsSDOQ94RDHINmnFtK61KNCB2KTfCWE3rdPX27LJ4In+TvQb0MwAAzpk7ju8ez3Jls13GDZPiO6MWo+l0RbasHENoPQWbpP3af2lx5S2yxp1SReEUJD+iSu+/HgeWVrJHsE5E2FYtd88o1IWzWWTk/NyT4DWpOe84yBW+QDAQZ6ihUi85bYx3siuTlBQ/okTt4TSWw6hK1DaFJixhhYGKdk0dQHwpC+Egz0FMsF+WIEUaan1zQIQ+vbZ9+TeOKnAFBCYWiZNC95Eg/jjODZ7+/QZ9qXrGFRnB7bpBSfxJ8+iff7XchWTeKhMPAknhAkk1ZNwjFI9hnF+xE8yVMiY8Az6YmBWPouAGlrJd2W5FQg2V7q76ANrgMy+WNCQExaDpqGiPv4ye6bjkxS8MUXSQouX/lJwaowLzoQgrKNoJwD1yHNdKjka810oHU9CEOHv7aCsEQ90aRcaLWonGvNdsC6HuKhIrwxF0HRQmwlJUryCbAWPbhtKin662vwawaCAt3YtRBEwqpHyO3pQev4EJqGzrEl+CVjWeKXO9OD1vYQ1fJor3Pgl+jCTJp7als4CxFMWYrtHFNBd5SexhKymdkScJc4irt9GE168qyfUERHPgGCyQpHXcBd5MjvDWA0fARDDhrHWPBr9ATIpCojaVtUnqPydfO4ItoTssIhqyqJt0DphQhWPQTjAvOnuGmFQxjZk647J1DcHcGqB/CHLCyeYBCfokgnvtHU4cwTebD2qwhmI8TSCS5aG0EkQzeCCHQYS0TMLO4QcBciaAHHzJk2ehtjaLUAuhEj6Jow5iy400BpOxFMvaqO+dMY4jU+yuUuOIBGIwd9ykZuCig/R+2BhZNMtI4PURlvoZLvwosMTM+Xoe12kN8LlLdzGB7H3nN0mBvbWDcyj5LpYaZXxI7pIei7HOT3AIU9HKHLsHC6gDnRQa3SApMSVW9vHrk9OnLTVG1qbjDQOJ7DGO2hkPfQjXW0F3Kw95rITQH52RhGh2PhZBOdSQ425MO0IgQ9E9qcBXea/CkKsySPXTjRgDfGwUsRmCaAlgF7TkduRkiCbIjOuIXmJqoyxXkBFmswGhrcOQZ3lo6Z0Q5RP95Fd5whqAhwi5ERV52+z9x8jNxMAMEYll5tU7WhJMv+XSLu5iRxN/GnaK43pFzUkGRKwF6UrZJF+q11NhXQXqMhLBmITTIPM5sC7qKsJMx7gBBoHlsgDodMXHVPtu+WYthLAfR58qforF3mnGqQP0VyTnkTRfSGrYzAKauGdoPaLsZSD4xz9NaX4Vd0hK7cZ0DJd9Iq0aU/RW9NHkHJSdsbhkfXDrMZwmiS30I0WoI/7NBDQWLE1eEZ6bJFRMlgooKw5NBDgUaJudGOM3+KHvlTRKNFhAUDXEpUdY88JVLSZc8HrxQRVV2SlRpMVjjou9ba5JuBKEY8UkFcsBC7ekrg1HtR1irp9EiNMVRE7JrgdkKm5NC7ATTpTwE/gCjkwMs5xC5xG5gQ0HqkdtG60nsiioBKCXHZJrmoJiscvZBIl12PfCc0DaJaAndNmVwxaKFUnyT+FGGYqjG4Lb0ipBIEPWplCc+HCNpH7sYk5Gu591cBVnWl4NzJD0HPl0jbXLARlEzE8mTSIgF32oOxi/TNid47KloISgadwKAnmeIzdSqPSZ10UqIME7JWTPK44mMz1INzbcRFG0HZQlCST/86XTTyUwHcX89B2Faqk6f2hp6WYnUPqD7dhr7YhnDktioW/Iosxdp00bCaAkNbFwAhqDRZTLT5GsIiS3vEhb0xSo/NQ7iWLOtKnX9VJgmgp+GhJ3w4e1uSFS5LzjUt0/lzwGoAa/69CRZxWdI10auRt0BQFqTz9xnyewRGf74EnrNoW9LjwRsGwiKXskGGkUc5Cs+3iSVfpW31RqWfQSFO2xvr7vCh+XHmtTCSeCjEgB0Dvo7cTgOTd3XAHZ22lfhTjMfQqgE0jSNsW6j9wkDtyR7Ckpn6NnTXCIhxD4WiBy4Y2gs5rP2xDrMZIagYUiFBiovKaAuVXA9t38bCjio2/iBC7OoUu/SncNa1sGloETkjwJ52GUv3jWPiPg9B2YBXpbZFdyKGvaaLkVIbXDDMLhUx/AMXudkAQdlAr6ajO8bQm4hhjPSQdwN4gYlgdx7HfM8HNzVaN0TtiN54DCaTobBjofSYhfH7W/S7qNB32R2Vfh3FCACgNQxM3s3hTvXk70dub4TaGzxH7Q1nRse6f2sBGkNYMNN1yfcuDOJAlJ8Fhn8hv/eCKdtfRLaNCnQpMdoM4w8FsKfbA78Pr8bgV+i3pkWAVQfW/HQJEAJx3kZYov16VZL2Jq2G4i6OyiNzEI5J68rUtvDLDFFensc9YPjxHszpRnYelPc5p7g8px6aJ2Z6ct0om/DL1N7gJu0zPxOj8MQ0kQb71gUlShIgqyDlZzswZupEBMxR+yAsmwgKCemS2hvFx2aJYJesK9rSn4IqMFok4CxEcLZJfwrbojZIwUJYlNVKuc/crja0mUW6rjk2eM5GXLIQ5mSSIMjEyt02Q/wIm9QHvGAjLliIXCOrRDUDGM/uJdJg0hbIWZQk2LLVEArY0y1gdiFTDLg2tTdcE9zK2hvmjllqMyReDMn2HIOShFgQ52LnFFVY9lnHLZmYRBz6fAuYX8w8EeR1PEkSAOJA6FPzEJ6XrUvis4yUAxF3u7jzqRuOSKVg/fV/fcBKwc6/+MsVXylY1UnBm15/JUxmUSbqh/vrm3MOgjGpb06c0hKtdNSnYR0pISxZUjIVQ/NIe43+8p2mwV9bQWxnbQm9l2jCZWmRMXpymMyn7mxGJ6IM2JeacFlyC0cL8IYsMnuRWb7uRaR1TsqZmobuphIiVxvQmOu9UNrfytZEzkJrY04+zQgYHSIN6oleXcbWW5NHd9SQcjROErJuRNa7cVbObByXR5inMr3VIV2+2Y3AAp6ui/Mmlo63yZXPF7BbpKc3urJsK+2Mu2sctNbqtM8uOQZarZjK0312xosnOPArLJXdWU0Bqx1n3hMAIlfH/CkmJUOS62E3SQqnhZmfQXvSQvNY+jhGh6V+BkaPU3tF+jHMn2zCHxL0OZvSZ6HZZ+/MgMjVMLuZIXY49K4kEC4K2SKg0j8Y0J7QUX8t3YiNpg57kcFe7PdtoHhmN2sI1/ppJcSZp/2a7cyjIrYZps6LYOWDtBLizPX5QATkA9HYYED89hJ95noO+rQFd47BqgtYiUdFLDC9RQeO6SCOdIgFG+6MBnsxOSb0WbnJsOd3ABQjiJ4Oa16Hm+yzw9NWV3fEwNx/4hCaoIrPAoO9QL4MZpdTuykSmD/ZRnsjJx5Ng8FeBJwl6RfhxWnLYepsG2FRpDwaioukvbofpxLO2ddRXzr1p6j3bUv6RTSOzaHV509h1znsBofZiajlIM+r+dMLCEoMWkK6bJB5U+I9Ac4R5yzMn+Km/hRWU9DTf3vQL6K3toDmOlkJ6SZESfJ46PeeaJ5YgV+UVbc2h9WST+w92hbjHNw2UT+xSC1NX1Y0W/J87/OLCMdKaK+1s/O4FRPR2QuzdgKA3rFDCIpaVkVtS8mlH1I7IeYQpoHOcbVUDWJ045Q0jSCk851z8EoBvcm8vPlz6N0IescnjkCYtUPCyRpdSyN5jZRkV+YnboYC0DX4G4dTNYjejVJyOAsT7wMBUcil/hRMViVYT3pK9LUT+FgNUdGmNqsfSR+LQb+IMPZxx+z/c2SSguteJCm4QiUFhwXJwX/Lqy+DViohzpP0ByBzE72TMXaFZaaZfuRSX45xAb0bZazkMMoqCS+igwZjA9k7t7LSndnKGNowDUQlB1HRRJgn1jeZ2nBa1/LAwpikV/16b3lTN9s8LRcCSJ96SBrWV6JsSV14x4ewjNRtr99q1+oIWI0IViOA5kWI89aBiV91Kv0yAXrKqpn0NJYQvxJG+mIIsx2Cmzq5D1Z0BGXiELCEbLZEpWS9FyEsyifPmtT5y6qK1aD2hr0YSSKcge6QTjbGedkH7xKjPlENcEtb1lvAakoW/wKH2YoQluTT/0hSDqcnXavOyM9gIYYWCvRqBj2FjwhEfY6Nzjz5HrgLMbiZkRH9kQgsF0PEDHqdSIa5GbqR+UVa0xvnwLAP044QeCbYvIXctIbcNN2oe8PkYBmuCQbsq5EoKWbI7fHFyJS5vRqcBQG/wtCdEGDru9g0uoARt415L4/ts0MQO/PI7aUbu19j6EwIsMkexmpN2EaEuXYeraki3N0G8lPEleiNEmkUa3yUil3EXEOrnoMxZSG3l9QUscnSz8mHA1huiDAwgHmb2hvTRBD0Sxp6Ywy9UY64GoEZHKJjwJ4nQmtuLqbjkVSPhgXiYky/74ZsMc1S64gbjL73UemG6QgicDaovUFKlghRQUd3mCpbYbGPuLsEUs8sxNB9jqAiKyG1bM6I0ZXtjQVqu4ABXs2kalqFuCNaLA2xFmWrpBUidgz4kqAcFPvOqYZsbyyG0PyIXC6rBvyyhii3zzklzz0ACCs2/IoBv0gOnKlldp1Te6MdgDsGVSrL5IaZtjPbUlXS8MGCKK3ABKVMVpokHIk/BTgQl6RrZp+U1ehRgpOoSoSpp+6aUU7br22rtxK1iHThLJqSwMmg+5Scpf4UQmTrCtINUxCXxejIbckWsMg78rosr9/SECv1lAjCtAIT56nCAUmm1LtEuozbDfzkhRuPSFKw4bq/huYskxR4Hl5QScHhQdo+GPtjGLqdGlYIxwJ3LJLXaAx6y4M2V5fDP/q0xq6VMmyhAeZUk/pmCRnGNKTVK5W9uKlBi6W+WRKcSFNt0v5yJnm8GwxmM4S5dzHTZ/dpqlPtNQB3bwdag3TcQic9MndNxHmTyoAWlRRz2+uU8Sbx2ybinImoYNKJaTCYrRju9j7tuKmDO3JbBSpRggH53R7MOdJxJ2Sp2DURFqUW3SY2d/npFrQggkj06g55PIQlA0FeAzcBq8VR2tagL0QjslecMxEWpRIkR33Y4q4I7t5OSryKbR1RgS5SfokSDhZT6VfvhSkpLHZ0BCXaVmJPbLYEhh/rACA3PG7riHLSU0L6U3AdKL3AUXy+R0Q0U0Ps6AgLGryKlipGGAdGHolgNTKfgiinwS/pmZ+BI2A2GcYf9ImYZzDybiho8CqMDLFKAtwUKD6vofa0D6EzCOkXQd4TDP6wQFSU/hQPanDnI0Db398hGIohcjFYy8DkPdkTfOQwBEUq0XujHKIWQDc5tO0uRrdSq4abNPjKrzB4IwLhWIh8pQcAMO4uo7g7hmCSCJpj8KsUVzgcwsyHCDsmxu8woAdUIYlNGriVeEVE1QiwOKw9FkYe5akTJRFL5bqaTKwAVJ4ykJ+O03WRTXwAv8IQVAVihwygRh4WMPqIj5FNn9Wvypu6SeTS2tNRWjGiQV90A/YrWQJZ2i6Qn6F1RMok0m5QYgNeEcNPhNA9uU8NmQdIiYi03CQ+TvVZP9unTgO8woIOv8jops6Awp4Y7gwl0hSbJBQXyBsjSZSrz/rQe1RJEoxBWBrCnIGwoGXk445A6blOus+E+Bjl5TrZQsjNRrDnukiGbsEgf5Uon9hq0029sLMHXcpNE++JZF2Uo4cVoyeQ29kcGC4mLCNdlzwgOYsBzLlOVoXtu37EOSNVZbh7O/Rg1Ed85I4B7pjpQ5kWcNi76wNkSxg6uG3StdTWITTAagTQF1pZ/Dr5QHCbzKS4RQoJc7ZNEkoJIf0TuG1KhQRDHPRwzwOfPzJJwbWfP3BS8KnPqKTgcKBfkmiY7v6OX1KfyhwH8ZphYgozBi2Ill2HkSHEQ4UBH/VUZ5zoa4UAX78GcYG0xlQe238dcxyEG0aybDWQDmiJBjrR2I4OwR8vEukolRvts45zRMeuQViy0r5jqoNu+6l2GbaF3vGjad9RCwRl5e1BEhAfH0J3XWGAEGW2o0wT7vmk4z5hDbwakZO0GDA7MZVXW36q9xamgdYpo6lnf0bgHFwXramicWwu5XCQVXAMsxFm68II7ZPH0RnVswFGHQG7Lp9mJOEJpoGFzUPp01gywMheiukCIis14UQZ8ye5iFM5nUhJaSlhywtRf90IWmu17GmsBapcLEk9fccHNA1Tb6wgqJBCQPeId+Eu8NR9UGsH8CYLmNlsDfTVqcIx6C0wd2YVzVf1SVQbJC905/scCAHsOr8IbySGsAS0HllcU+WC1hmtAL0JF3verIGX6WbD2jqcWT1bV6d1068vonlyADMfgMc6+KIFZ5rIiO4iVWC0mGP7u21YaztwrBCdnoVo3oW7R08rK1YjQnfMwtw7PYzVmjA0jtlmAd4UkSndGSIRWo0Ie9/ooHrONCblvI8dizV0dxeQ352t032OHe/UUd2whJLjo9FzsDRbhL3HImKmPCZB2cCet8UoDHWhMYF22wGbtpGbksdkkciqC691sXRGBLMQgHMNvE6f050hd1CrTpWr3b+TR2+dHArm6eTXMcOQm+VwFuk3EjsGdv+ORa6Z+w4FW5DeJC0frWOLmD+FIcpRWypxQU1itxpUip/dUkFnkoHbAkwOBXPnqRJl1elcEKaOqdcXEZRJfZK6YS5kvw297cNbW8LCiVbKUTI7iWsmkYCT86Bx6jA6a/Rs9kbiv7IkSZcdMtFaOGMo5XAse051fcTDRSy9Ok/cIyRDwbLjkFyPesePojNmZlWVblapTNwpAaB18iiCgkYthFC2XVohjIa8JvR8iFIe7ePKVOEAxWa2+oaCJf4U64bRG3PoWsoBvUcV2fT64gUIvfYRax9s+MKLJAX/RSUFhwVp+2D4gzDdwv62oMnUs1YXotsl+8uEzOKaREABDTTReiHYYoM8ypMhKjki0AidSTlgTCfQfJ08tuXAGJ4z5bCVviSh3gFaHbIDlRrn5Ri7+nyTyE7J/pYZKqO3A+izS1QhSHTQRQuRM6iDNpZ60BZb6eCZqGgjKlDpDgB52bcjmDPNVFOdkC7D4v4T9qw9S1nZTpIuqSqRMLVj2Is+jJlGOognaW+E7mCJ0t3bAev64HknJV0Ghcxqly4aMXIvNCA0bYB0GRZY3z4F3DnStfOchbDspKXYME9VCdK1CxR2edBb3oA/RaK5J0MpAWdJoPQcMZJTf4qaRm0QyUi3mgK5WY7C9jbivPSnGCIXy32nOZZ2RLAXvMyfYh9vAbNFHIParzJ/iu6wDm9kn3J4nSE3LVD7VQ9hIfOn8BJbZ13QHIwFDeXt5BuQ+lOMMXijcUoyZE0T7oyG4cf7/CnGyEqajwQw3WwoWG6PjpFHA4QFInkeyL66vE1HeUeY+lN0JjnsiQ7GyuR2N9Mowt+bx8hWBqPH0R3NhoJtWLOANbkm2pGN5+aH4D9fxMS9HJGj0VCwSRoKNjbSQMEKsNDJYWmmhOKvTAw9EWRDwSYEojU+iuUeNDkUjE05GN0qYC9FdMxG6XMOTEhdtOHu1TH+gI/Y0rIhaaPSr0MOBTMXdZSeB2pP9bKhYPu2mFrEpxh6MoK9GCComOgOS6v0mkCcE5LIp8GZA0Ye7UBoLP0N9YZlW0uW/e06+Y2UtrWIlFuTBN8hWQmRigtnUaDy6wDWQi8d9tWr6SmBEyIxseKo/KoFcGRDwarafiqm/EyM/HNLaSszGR7Wf05ZTYHiTg/GfBu86CAs2XTulbTUptvoAXYjRuHXDeIg9A0FCwpapvLokLrK2bGQWleHJWqDRG72gGG2OdypDpGxXRtxyZHtDX1gKJjVjGDvXMosruVQsP62rd7j0BZbuOfnf31EkoKNnz9wUrDjMyopOCxI2wdrPwwDZjabGyBr0OU0uIkWNilrJWu0vnWJHrZvXngyhz3VJANEvunX8yal/X7dbOL3vZye19AHdb/JOiEG1ySxASmxJh0mI0tpA5pkDiIj9cem69QOMfr0zZwPEJLSMp9lkD968jkjPqDPJutYfVntdUKWAmOku7aMTGMuHdVYKMlefeXMRJJE24fUcceD2nFLJ0/5fTTmNNCH9slNHdzWMy29TJo0P97PeyK2aVIfxUZKlWU18jaVThMtvRZw6AGnYUnSeyJ2aC0dW0CLBTSfhj2l3hOWhtjdR+cfChgeEfMA6T3haORnoCH1DDB8SVSMMu+JyKGkio6H5Kt4cp/SeyK2yMp6wM8gIA+Cfu+JyGEIc0i9BQApb/MEdOnHEFvUckm4JUKDdO/b348hzBO3JFmn+9IDwpeeEgZ5OyReEYlMy+hR4tfvPRG5LJX1JpUVsy29IvZZF1tAlAPiHCVqZksODpNTkGOLCJzCALpjpKYw2xoNLGsTnyJZxy06br0RIZ+wmRwI1vdZLYo/LFCCqHtkiW31EUa5TsdO6IBXkxbW3Wy4WDJwLTZpf9ygFlEyCyMhqWqRSFtEqV9IIbl5CulRkbVguEm/Ib9MN2OjRzdjo9fnPSHbXNxg8CqSnNnLhoul3hMmk34W1OrSpQmU3tvHe8KgdWGB5lfoviQteoPnlTBoZHhQJsKz3pMDs/q8J5J1sUmW4loooPd4NlxMXpu5oZGFsZRcakGyrT6ytk7bi7iPux/6wpFJCj73IknBlSs/KVjVPgXQNQjHzQZghBHNEg8CoCNHKBfy+w/6CGmameh6NJxDTgATOSeTuiTTzHo+rYsi2pZLEqDlZqyj3QUEBysVqZJQ0vdz/GJdL3UGE6U8eN7J2hsRB+uRnhddDyIIwYp58IIDXswNzJJP1jG/Q0lRrUzZvuNk0h/Z3tA6PcDzqcJRKSAu2GnfTg8zMo5eb1MbpFJEXHQQVZ1lh8po9TYQc8TDZZI41ZbXQes9H8I0EA0XiZzkavJJgNMFoxXAmG+DeT54pYCw5iIYsjO5qHSXM1o+jIUOWBghHC9TVWLYzPTeXSIXGg2fSEymAX+8IElYJikkApKVWs0Q9myXSqK1PLxhB71hHaFLd0/DI9KgVQ9hz/fA/BDeZIlIl7K9sS/xy235EIaG7to8ETgLiVxUpAOM3BnStYdDOXTGLXRHqY8NJE9ZVLp2ZwJovQjdDXl0h3R0x+WIZk4TPO0lWleoB4DG0NzkyEFNdAFPLLPdBY78dASr7sOv2WitM9BdIyscjA14C+SnIxjtEM1NLjprNHQmgTiXtFRkOXyOo/wc3WGXjrfhjQKtYzmEJcACBntRgzNLPXZnMYI3ZKJxjIbOWg5epqFg6JCHgjsjUH2Wyvn14yy01wG9jSGsYgAea4gaFpxpGs5V3E3J1cKJBrprI2CkB9Px0fEt9OZzcPfIdbs4vKqG+glA+OouhiSZcr6dR3OayJS5KfL3iBwd3WMijJw0hw2lJURcw/alISztKSO3k7Zn9gSCsgZvbYD8WBO1XA8t38bsfAnGbhv5vdRuMHpAUAY6rwqpvWFEWGq7iGaJDJqbFsjNxuCGjvY6oHNMBLOUDT+zZ3XkpiAHecUICya64wLNEwb9Ohw5FMxdiGD0GMKigfY6IKxQgqP19Ky9Mc/hLIYQmon2hI72WoGowADo0g2TrLyT1kWYs9Eb0dA8hqSbRKZkcOaoVWIvhTB6DEHeRmdcQ1gkroOWOK/KoWDWkg/ARnfMRGdMQ5SjRN7oJW0Q2p/V9BE7efSGdASTOmLHzAjKdSIyW40AOoAo76I7bMhzyqaqSpNs2e2lgIiSwoY3aqM3bCHMAekgsmbWKtGb3hG7LTGBlGOy7/urAQddKfjpT3+KG264AVu3bsXU1BS+//3v493vfnf6dyEErr76anzzm99EvV7HOeecg5tuugnHHXdcumZxcREf/ehH8cMf/hCapuH3fu/38JWvfAWFQuFlxZAORMpfANPKZcMvHFsO5yAHLtbugi/VaZ54Mis8mQaW2GByDswtkve4rpGlpmwRCLtfDxsBU7MUQN/krnTGuq6DcQ6t1QOfW6B99tl40jpZSYgF9NkliE4niz21DrUgTMqANS8C2z1DCY9hDM6ST+e6CxhND9g7K9eYmZ5XEiWhM7BIkL1ro5ntr4+xy+X8et2PYW6fhohimnZmmZTgFPqGz8SCeqU7pjN98746aI2eqtzdLWB+KbUfTZUgBbJ5pbIoR27bLCV1lkmEUdkqCfPkKcEEYNX7dNxSVRIVieUc5TO9d35nF8bexcyfIk9a+bBkDGrMn1ikpE96SsQFS2rRs/aG3eAoPTpNTy/SUyIsmTRxUJrfsAgo7wjgbJ+n2HNWOm3Qk/p3aJTkDD/agtbskZY+b5HKI9Hcu3KfSwLDD8zT01DOQij9BbyqbG/IHnH5+RilJxfBHZoKmExp9GoMYYGeZHUPGH/Qg7nQzbwFpAeBX828Bawlhsm7GgBj1CopmVmZWxIDWchQ2g6MPtiQpFK5rWENvRGkg6u0HsOanwnkdncR5034FRO9GnkteCMcPDGxWjSw4VYfLOLkKVElVUlvXCAcjqDnQ/BQg/OMg7V3dRDlDFIN1KSqYU0Ea8iDbYfodm1U7nRR+bWPsGjAq+iZkmLCw3ClDV3jmFkoY+JfTOi+SIeedccZ/LUBxtbUMZ5voReZePZXkzjmuyENPivThMzuuEAwEaI60kLOCtH0bGh3VDHyWI8GspWz+IOxELlqD5om0F7KYf33NFitkFpCFblujD6nUQjBYwbjBQcbftwFt3SEBQN+RaN1o9Kvw+KAr2HoFzqGHm/Td1AgXwxvmNQbYYnL9oaGdT8JYDUCRJJw7NXo+/Sr1N4AZ3BnGCbvaACGRuuKRtq2CMrZ9Nna0xzlJ+oQrokoT79/r0JKoVAOoDN6wPjPujDq3uC6qp4NoBNkljb67wtU4ctZRDyW2wsSxUUEVLZHyP9qXl6DaJ1fMallmKMKjOEJDD/apratXBcWqR2RtDcgANbw8Mgth/cpPbkvbfrsFw5YKXj+s/9lxVcKDjopuPXWW/Hv//7vOOOMM/De9753v6TguuuuwzXXXINvf/vb2LRpE6688ko8/vjjeOqpp+DIA/W2t70NU1NT+PrXv44wDHHJJZfgzDPPxHe+852XFUPaPlj/pzBgyaEXYTZrO7G5tCywMulc0/neYZi2EoRsE2ilIpDoSuN42XWMMbBahZKOZMTnPusA0JSvWiVNOAbmmPfNFWflEkQhmRUeH3je+UgNwjLJ6zuUw0X2WcdsC3y4SqX/WIAF4eA6QSV7VioirlDilY5ZTdb1zXUXY0MQrpk6g6Xrktnncp/xmlo6BY75fTPu5cx5IQRQKSEaLlCZOyAPiHRdojUGEE8OIypY1BpIBrz0rxMCMA0EG4aoYtJXCUm10nIdrxThTxRS4xWjGw6uk7+PYP0wwpJB2muPZ+v8KLWYFYaO7nFD0p9CVkI62TrEpJGPawW0N+SpHRFKz4YO+V2wIMq048fU4NWkV4QnNebJulBavho6GidVETkJb4R6p0aHfDESjXxUzWHpeJcuyL6A2aF1elcSauMYLBZoHV9BZ0yTunZkWvpuBE36YghDw/xpJYSFbC6I3ZTrejQoC7FAMORg4WQ7I102pa9Ai3T+1EYSqJ9QQGsdtVWMLrkPJut0n1MlTmOY/k80+pzK9NKDYF+fgqqF6bN0KoV7VAlJ/AyMbpy2ahZe46BxvCR6dhgc6RVhtzj1lUPa5543meScGTKYDY28FhapkmR41ILxKzqmfouTcZanw1rQ4cwxOEu0TvfIF2P+ZAu913XBAERNC9bcPv4OUuWw8+0aimubCCMdvQUX9owBd5bRILIOVeL8io7OHzRQcT3Uew5aMwU4UyacOfJcsDocmi+wcJIJfnYDmibQaTrQp224s0RYtVo0OlwLOXadawHre+Axg1iy4MzoNCStTm0C3eOIXB273sogcjSt1FqgIWnOInk8GN0YWsDR3ORg7kyeSnYT51K7QZ4Leo9aftNn59Gd5ABn5P2xQORdqxnD7JDXiTA07Hmziyg/OAzOqccwWzH93sIYvTU5zJ1mZA6WSyR1TvwiNJ/OhcVTK2hPSo5SW1bT5OA2vUveL7Hfwx1P/80RSQqOufrAScH2v/q/MCkY+MeMDSQFQghMTEzg8ssvx5//+Z8DABqNBsbGxvCtb30L73//+/H000/jxBNPxEMPPYTNmzcDAG677Tb87u/+Lnbv3o2JiYmX3G9KNKxeDMPOyxGZevbkn9ysk1nblklOV6aR9emTm38gTS50nZ6MTTlWVI7lTOd7h9J8I6kk9I0CTW/+yRxwrc+pq2/86H5TvjT9wIM+ghDC8+mmk2zLkeNTZbWB+UE28QzIKgmuRVwDyPZG3zqmaQOky3TeeSDnuvekIqOvksAdI2tv+NmkNQgxQLpMuAbpzT9Zp2vZQBbHTDXJmh9nk+LCKKsk5G1wh/r+WiRv/sk6zjPS5XJDZZbRN0f5PgKnx2G0EwVCkJKdoqIlZVpMJhJxug5RnA7ZCQtGOpdCD6SxUyuA1vbIY73kICyZCAs6ScOSm38zTm12uWuSP0WZ5KKxSZ/T6sipi00fLIzToUNBSacnI0b+DnZLsr4bPqCzFyV+JZMX00FHcihYQvyyWmTvO6Clr5k0Plr6WOie1NzL6YtgTK6RQ8FcSEthwFmiErfZCGmg04sMaqJSeEyVBOmemHgLGB6DVUda5gYgB4dpJJGUFQ6zxWAvyGmUSzGiXPJ0LR0bXTJQMusa3Fkq+ZttTq6TYwzeqEBUC8FMTkPB5nXkpmkdBHlKdNcA/lgEs0REhrBpw5oxkJtiyM2TxXV3DVUlEvvqIDLQWcjBnjKQm6Lj59XInyJa62N0uImi7adkSmePidxe4jB0xxm66yJUJxs4proAjQnsbFYxs6cKZ5eJwi6ab9EdZ+itjVAab2G40IEfGZheLIHtdpHbw5Cf5ghKNGTMm4jgDnfh2gE6PRvBXA7uHh25KUqaqBLC4K2JYJQCMOkOas7S5NPCFH0H5DQqh4Llo8yvYy5plUQpWbU3CgTVuK/FpMOZJStvqxkTIXekzwVVB/Ru0t6gbUEIeDVJ3K0iU3k0pbpnnsOdDxC5shIypA1UOKwm4CxwGDMd3H/71UcmKbjyC9CXSQpiz8P2z73CkoLt27fj2GOPxSOPPILTTjstXffmN78Zp512Gr7yla/gH/7hH3D55ZdjaWkp/XsURXAcB9/97nfxnve8Z7/9+L4P3890qM1mE+vWrcPv5C+AwWgaDdN1OUzDoDaArkMEIdlf9sesJ7PAZUuBMYhej0Z29q9JtmUY6Y1TtNvZE/y+88KT+d5hRG2BdGNyjWwnJG0L0elmSUuyvWR/pgFh6ERUa0qdbkpW1AfnmGsamS+12n3ui3r6ObN1jGaiez5VDhi1KNL9yRnrEAJsqZlVDvaZ6w5LqjLCGGyp2f9jSD+fsE0Ii+a1a60ueUAk6J8l79A6CEF65DDKttXvF+FQq4T5MfT5xuAxk34RwjYRuyb5UzQ8aK2+70CjbQnHpKREjmw1Z2nCXUp8TPTNrkn+FJYOLYhhTjcy7biuDfhFxC7xKUhT3eevbugDfhGRQ/3VVMct4xe6DuEYiF2TdOE2gxYIuLtaxH8BOVsKUwd3DUQ5A1Fel/uMYE/3fU5JyozzJsK8gShHyUt+jwejvbxePSxosiIBFLd3BpwtuUVDw8KiQQRCk8FucuR3dckVkkkiqK0jzBsIihlrvbiLZl/Q9wkIk4aLBUXS75M/hUD1mYCqEACgM8S2jjCv07oStUqshkBlu5+SEmlAE63xyyy1/C7t4HDnwjQ2bpEHgF/SEFTkRFMODD8ZQffk96khJdH5FfKniFwBq8Ew9FSU7dOk9k7iFxGWpT/Fdg2FvTENQdLYoA9ETZbzOcPwIwxmJyO/RTZ5J/g1wB+KIfIx9LqB4YeRumRyg0igfpWmnsZDIXQ7hvlMDuVnedqjTjwlgjJoXVl6RTxqwmoKaHFGaAwLcl2NI85x6B0d1adJjZCus6SnRBnp50xMupJ1qedFgSEogZI0BhR2ENlSC5ESbSOHvqOgCMQumYgVX+DQQyL5IiGgOuQ9QUPSAHuJEggaVie/B3l8A+kVIRhQ2MthdqSbJpffqU0thrAgB4j1PDz19cN7Q06Tgr98kaTgr1d+UnBIiYbT09MAgLGxsYH3x8bG0r9NT09jdHR0MAjDQK1WS9fsi2uuuQZ/9Vd/td/7LJ+HZjh0w04mZHkeRBjSPG7TACsW6KYmp4+JKAbCALznUYk75tDyLrRCnm5YAL0fxYDvg7c7aSlcK5WompBMDeOcEo9eD0KWzKHr0CrlTD0gFQ0iCAGvna5j+RxYqZDtUxIghe8DrTZEHEPEMbRqBXCdrHIRxVRpkEmFiCIIXYc2VE2ThGRb8AOIppeuQz4PlAsZnyKiagn8AGjR2FkRx2DDNSDnEE9CCOIX+AFYq0NeDHImuhgdpkRBJ4VHMjudLTUBWalhhTyRIPcdn+r5YM02VVbiGGJ0CKJSyDgcSdui3YU2L2fcawx8zSiEa8oWglQqdH1oC02wgFohLJ9DPF4l3gVDNmyl68NYalNlJQiB8WGEayqkbIB0w+wG0Bpd6DM0SAUA+MZxRHlTkikB3SO7WGOuBbPnEx+lkEOwtrbsUBl9sQ1bzp0XkyPw1pXB7cSBk8PoRjAaPZhTUnvNOYJXraEhQf2jelsh7OkO3K5H323OQe/YoQF3OfKUkMO+pN9FtG4Y7U1FYt8z2Wpox7DqPtxdVFkB5+i+Zhx+RVY4uGxbNCLk9nRTXbjIOWicWEkNd/pd9JJhX6znI9gwhMZxuXTSpO4T8ctZiFB8XmrkwwjNU0fRG7YQOZJ13yEtfXEXDfvS2j54zsbC6aUBOZ3VpFJyfipIdfK9TVUsvsbOhoLJoUm5hRjVX8vBQ36I+TOH0D2B9UlUkY2ifpT07dwxMPX6AvyqyPYpvQWGn4hgLZGzYHtTEfOn6Nn46242FKy6jSoreifEzDllLJ6kkWMjFzCbOpw5MlxyH6IKETc5dp1rZ0PBfB3GogF3Fhh+FHAWNFiNCM1NHLNnC2g1H7rOEXQsGLMmctMMpYcBZxEwWyF2/5aJ5n/yUCr1wAVDq+HCmLLhTjGUnifZIpjAjnczVCcaqOZ66AQW5udLMPbYyO1lqPxawFmK0NhoovO7LbxqZB4Fw8feThk7p2swd9G66rNEEJw6x0bvLe1UojpdLyKYyiO/h6Gwh6pDLBLYdZ4BbbKLQs6nqsp8DvYUVS4qvyaCoDdsYu+bAFYLYZgxQjkULDfNkJvhKO0g/4P5U3OYPUsDL0UAE2AtA86sHAo2K90p60089fJvZf8hMI7U1nzf91cDVoX64NOf/jQuu+yy9P+TSgFvNMHNkKoElglmW2COnSYJwvPAF+uSQGjSU7FlgrkuWD5LEkSnA97zwAwDzDT6yH8FMIBuWmEI0WpBdKiKwCwTzKR9IufQk2QUQXg++MIirTGNtN3A8i7AcvT0F4QQnW5GSDSJREifQXp9c06GQ80W0Gylf4dlEf+hkAOEgBbFED0PfHY++3xJu6GYT9sbmqwmiJm+dUl7w7XTJEHzA4ilBrDUoLj7BoyIQi7jNnQ98KlZOma2lZIueSkHVArUUvFCiEYL2DMNrW8mejLEhSSIxG3AwhLYUgPawIAUGygR74IFEVma7pkBMwzodp+nRCUHMVSgJMGPwBZb0J7fCz3xp8g59PQ/UoRgxWyW/MwijMVG6k/B8w6RLqsuzZIPOIymB23HNOx+f4qChbDqgo/kSILoxTDmWzCf2QOr35+iYMEfL0BoRUoSuhHMvYtw5+pZ7JJ0GVQtAEVoPllcW9tnYCX+FAWHSFZDNvi4Ay0qQe/FsOe6yD2xd8CfIiya6Ey6EJqbTthzdtZRmq6n/hQJ6bI3lAOQg+ELmvT5qxm4pkHbKtOAsd6IifakBS3Ow+zSkLHKL6YH/CmCsoHmegtCt6AHBVhtjsJzTQxNNVN/Cr9qwi9p6I5YACwYXhFOPUbpiQUUTSPzp6jq6IxqaK5zoMUOjI5AYSrCyL/PgRfs1J/Cq2pobtTBX6VDCxxYTYHqMz2suaeV+lMkpMvumAEwA0bPJa+Ix5qoPaWlQ8GS0nlrkw4WGzDbLgq7OSbvrCMqWJm3wAjQeBWw9BodWuDCrudQeyrE+lu75E9RM9AbJnfKhQmSF+tdF+5cDqO/6GH4l0j9KXqjNFirdRxVEsyGi8JOYMOPuwiLJrwhUqj0xgRarw7RPjWG8HWYizkMPSZwzP8M4Vdtam+ME+myuz6Ap3MEbQvmrIuJ+0LgYQPeUAXdMQ3aBAdf50E/sYsu1zC9lIPzvIVN/9NHUK5gaaSG7gQgJkOUT15A5SxSXOyYLaO0lWH0H13MDG3C8+MMnbUx8utaOPYNe5AzAuxuV7BjqoY1P+YwtrroDhdo4uZkDHdtC8MntiEEw9RSCeL5PDb8OECUc9AdzkOMM7DJGOKENtjrPCwFJrrzOVQfZTj2//PhV010hxzZ3ojRPcOHr3OaCzKbw8S9MWpPR/v5dfSOTfw6LJi7S8AjR/S2tWpxSJOC8fFxAMDMzAzWrFmTvj8zM5O2E8bHxzE7Ozvw76IowuLiYvrv94Vt27Bte7/3NdsCoNFTcBBkkykTW2NNg5Z3SaMuBD0h+n62TnoKsGS6luBUcQg9iG4vWyN5CMyVxEBBT+Lcy1oa0DSa360xsHyO3uOCqg2el2prkzUws30i5hCdLkRbei0ka5gGlstJPwPJgej1tUM0BiHbAFqpSMS+OKYn3F4vazkwkgLCMKBZVpY0tTu0Jmkn6Bq50uZzWWUlCAHPI3Kh3Cc0+TRcliWwOCbZZqdLSQNjg+0Jx6b9RBEZO9WbtC2mUcLGGFDID1Y5eh40WbJP1+g6UC2n+2RdD6zVoRs4Y9kaQwdqFSKIRjFYow19MUY6yV16VIgi7VNIToje9aDv4z0BxiCGK2TTHMXQOj1ojTaM1O9Cy+ysR2qpNFZfbEOf5wO/IaFrEIUcVUMiDuZHMNsezH4fCLnPeLSaJk1aswdrqQ07tb/VUzvraKIGxgVYGMNc6MCciVO/C+gahK6Dl1xwqwAWUWXF2duCs0v6RcjtQNMQTtaIExJxGA0f5nwX+X7vCV2HMDX4G4bSpMme7cHZI8vnOrVDYBC3Ik6SJj9GfqePQt+gL2HS8fA2VOi3FJBc1JnrpYO+RGLZbWroHFdLvfFz0z7yu+K0PC1MHcJgCIsmeqM28VB6MUo7PJR/zWVsGrhJDnqdTQWaiRDSkKPcbAAWiawdYtF44/pr6PdteAL56QilF7J9cpPWhAUN3dECtIhkjOXnQtSelp4B0hZbGEDjGAfcJE6I0+AoTEu/C5A1cmxzcJNh/hS6dhg9kndWnpMlcUatJW4KhDmGudMcaCF5QFSe4Rh6goEJi/wupM9C/VgTsZOR9PJ7AT2kpCw2GWybIbYEZs60U+lgYadAZZsBLa6hrVG5vmoDYR6Y3mIQP6MDVJ/QoG8tY4qXIXQgcoCSxbD4GvKNMDwGswnUHtOgP1RCV5TADSBv0zZ3nm9BaAJmm4iGtV9q0P08IPLIGYBjUtvkuT+wUlMvqw7kHtWgB27achA6sPcNOqJhDtYF7AW5bkqDHlBrmRtAHBw5PaCqFPRh06ZNGB8fxx133JEmAc1mEw888AA+/OEPAwDOPvts1Ot1bN26FWeccQYA4M477wTnHFu2bDmo/QkhwAzqdwOgG09MDHkRySaUfPpnupEmAamqIKJyOREIqZLAHCs15UGyHVnKB+dpJQG6Do2xrG2RrOWcnupN+TSu2eRDI9UHIooAL6AEwaa5Dcwhwh/jnHr5Sbk/9LMKgmEATkZspEQoTOMDF/Lp38mMm5K2RRhAeJG0TrOowpFzUq4EwihbJ6eUJaRL5tgZgbN/XcwBRxDp0rFTMiWLEgJnSAmY71NMjg3h5DJiY6LeSKympUW0cKjyQmTKPvWGT4kOc125LSk/BdJtwfNTDglzXZIHFnJZeyOMifjo+RC9HlVUcnJd3kmdKYl0Ka2rowiM52h/rgVezsl9xkS67PlAt0dJTkGuKyeeEgLMj1MLadbtEZG14JJctGSns+Q1L8qspv0AWhxD5B3EeRui6qZTN7WuHPbV7tH2S3kiXVYcMnMRiWU2DfvS2j2ga4CVcjTWt2QtP1TGC8CCHOKSQwTOITvdp9mmNojW6pLnRqWAuERP0LHt0M26J9e1PLBWF5ppgFVyNA65Yg4OBWtm9rmal0NUoaFgvVFzcChYI4De8GCEEbThArkLDpuIbQvpULAm2fEadR+GqSMYcuFXDPRq1oCLnt2QFtctH3rPgV+z4Vc0hGM6hGbS1M2WXFf3yep8LE/bGqZ5BoBJltkN0uU7Sz4sQ4M3asOr6mgOEw8jUW84SzTsy2z6MNo2eiOmJBvq4LpOLZWGkMOVQmo3rXFptPUYQysnfSySQU2LHLnpAEJj6EzQU3FrI5lFaTEj8t289BbYG8JvmmiPk1yxvQ4QJqB5Gmw5FMxdILZ/u2cRuXFcIDpeykVbOhE4ZwQKe+i95gaDKhevisFyEUSoQa8bcGc1spLeFcKr6mit09Ab5whe5SOwIgSy7O9Oy+FhUxEYN9CZBPyNPqxKFzETqLddYMomf4cZDqslwA0dvXURzNMaKZlyZrEEscdFfg8RQosvMDR1E9q6Dja8dgE1u4sFL4/tM8PALlpn7T2CJgEC2VyKfd9fBThoomG73cavf/1rAMDpp5+OL33pS/jt3/5t1Go1rF+/Htdddx2uvfbaAUniY489tp8kcWZmBjfffHMqSdy8efPLliQ2Gg1UKhW8gb0Dpm5RqV6SA1NiIAARBMQJYBqYroPpLCvrazq9AIh2CzyIwCRxjfUTAzU9fVLnDUmsY9rgtgyL9i/3GTday26LmWaamPBWi/rpybaS9oZpEpFQ3hTjBUnI1BiYoVOrxDQzxQUAEYTgi0vLbyvxbQAgmi3wjpdtK4ndygiQEAJ8Zo44ackxTfZnm0TsYwzMDxDPLux/HOyEjCgNpRpt8FZr8DhYFmCbEKZJscUcYmaOeAi6LpMqE8wyIew+Twk/gNg7TQlU8vmkl4KwrZSPoC21qIXTfxwcC8KyIJw+xcXuGUpa+reVtEEsA9AB5sXAC7vTfZJlduI7YaaujfpSB2JmbuA4pOoNm2bJQwDmC7Pg3W52TB0LwpWW2Ra5O2p+BP253fS9J9tybEoSXCO1zDbne2C7p7JjKrcV54gEyS3ivrjb5yGa7eyYOkmrxESUo6qP7nPYT+ykn7c8DtyliaBEgCSipL3gw3h2d3ZMbWqVRAXylOAWAwRQfGaJ/CkSL490Ip4p+QhkKFXaupuSdNuk41CwSWdeNBC7DAKAsxjBfXRXdkylqiSZ/hfLfVZ/1YK+ZyE7DnmLJg6WdNqnfFIf/tk0JZrymEYlC36ZthXmAaExuPMclZ/vkl4XjvSwsOFXdDlcic7joSd9OM/Npsc0KlnwK2QpHBblDTsAJu5cgtbz0mOa+FN4NY10/jrxGsZ/MgVhmnQcpKrEq2nwqgyxS5fqoSc4yr+clRNbyYY8aV0EFUH7jID1t3Zh1HvgeQthyYZXkyqPIZBltiFgzevY+IMFqjoVLAQVK5tGOcQRF2KAAdVHDYz+bDE9pp70uvDGBIKhCFouAo80rPu+Bne6i6jPqrk7xuCPxTBqHkw7Rncuh+P+3y6ErslprHKi6RoBPu6hWulCZxyNX4xg/a3N9JgmrQF/IkR1vInRfBt+bKDznQmUtnfltnSyuJ7ksNe2cdzwHGpWF9OLFn7y+99GvV5HuVx+ube7g0JCNDzuL74A3V6GaOh7ePb6gyca3njjjbjhhhswPT2NU089FV/96ldx1llnveS/u+WWW3DBBRfgXe96F37wgx+8/A8iDhJ33XWXAOU8A6+LL75YCCEE51xceeWVYmxsTNi2Ld7ylreIbdu2DWxjYWFBXHDBBaJQKIhSqSQuueQS0Wq1XnYMzz333LIxqJd6qZd6qZd6Hei1a9eug73lvWw0Gg0BQBz/518Qr/nMl/Z7Hf/nXxAARKPReNnbvOWWW4RlWeIf/uEfxJNPPin++I//WFQqFTEzM/Oi/+75558Xk5OT4o1vfKN417vedVCfY1XOPqjX66hWq9i5c+dhy/oOFxKS5K5du1a0LOVAWM3xq9iPDlTsRw+rOf5DGbsQAq1WCxMTE9D6Z8ocQiSVguMvP3Cl4JkvHlylYMuWLTjzzDPxta99DQDAOce6devw0Y9+FJ/61KeW/TdxHONNb3oT/uiP/gj33nsv6vX6QVUKVoX6YF8kX2q5XF51P/QEpVJp1cYOrO74VexHByr2o4fVHP+hiv1IPUC+FNGw2WwOvH8gIn0QBNi6dSs+/elPp+9pmoZzzz0X999//wH3/1//63/F6OgoPvjBD+Lee+896PgPT8qkoKCgoKDwSsSLNTAArFu3DuVyOX1dc801y25mfn4ecRy/qO/Pvrjvvvvw93//9/jmN7/5G4e/KisFCgoKCgoKKxEvVSnYtx2yXJXgN0Gr1cJFF12Eb37zmxgeHv6Nt7MqkwLbtnH11VcfsoN5JLGaYwdWd/wq9qMDFfvRw2qOf9XG3lcV2O99vPx2yPDwMHRdx8zMzMD7MzMzy3r6PPfcc9ixYwfe8Y53pO9x6YFiGAa2bduGY4899iX3uyqJhgoKCgoKCisJCdHwNZcemGj49I0HTzQ866yz8NWvfhUA3eTXr1+Pj3zkI/sRDT3PS+0CEvzlX/4lWq0WvvKVr+D444+HZVkvuc9VWSlQUFBQUFBYkXiJSsHB4LLLLsPFF1+MzZs346yzzsKXv/xldDodXHLJJQCAD3zgA5icnMQ111wDx3Hw2te+duDfVyoVANjv/ReDSgoUFBQUFBQOEZhAOsFy3/cPFu973/swNzeHq666CtPT0zjttNNw2223peTDnTt3HnKJpWofKCgoKCgo/AeRtA9O+tCB2wdP3vwKG52soKCgoKDwiobAqp59sCp9Cm688UZs3LgRjuNgy5YtePDBB49qPNdccw3OPPNMFItFjI6O4t3vfje2bds2sMbzPFx66aUYGhpCoVDA7/3e7+3HKt25cyfe/va3I5fLYXR0FJ/85CcRJYOdjhCuvfZaMMbw8Y9/fNXEvmfPHvzhH/4hhoaG4LouTj75ZPziF79I/y6EwFVXXYU1a9bAdV2ce+65ePbZZwe2sbi4iAsvvBClUgmVSgUf/OAH0W63D2vccRzjyiuvxKZNm+C6Lo499lh87nOfQ3/xbqXE/tOf/hTveMc7MDExAcbYfg5phyrOxx57DG984xvhOA7WrVuH66+//rDGHoYhrrjiCpx88snI5/OYmJjABz7wAezdu3dFxP5S8e+LD33oQ2CM4ctf/vKKiP/lxP7000/jne98J8rlMvL5PM4880zs3Lkz/ftKv/7si6R9sNxrNWDVJQX//M//jMsuuwxXX301Hn74YZx66qk4//zz9xvHfCRxzz334NJLL8XPf/5z3H777QjDEOeddx46nU665hOf+AR++MMf4rvf/S7uuece7N27F+9973vTv8dxjLe//e0IggA/+9nP8O1vfxvf+ta3cNVVVx2xz/HQQw/h61//Ok455ZSB91dy7EtLSzjnnHNgmiZuvfVWPPXUU/jiF7+IarWarrn++uvxd3/3d7j55pvxwAMPIJ/P4/zzz4fnZWOoL7zwQjz55JO4/fbb8aMf/Qg//elP8Sd/8ieHNfbrrrsON910E772ta/h6aefxnXXXYfrr78+ZRqvpNg7nQ5OPfVU3Hjjjcv+/VDE2Ww2cd5552HDhg3YunUrbrjhBnz2s5/FN77xjcMWe7fbxcMPP4wrr7wSDz/8ML73ve9h27ZteOc73zmw7mjF/lLx9+P73/8+fv7zn2NiYmK/v63EYw+QjO4Nb3gDTjjhBNx999147LHHcOWVV6bD84CVff1ZDolPwXKvVYGDmpSwAnDWWWeJSy+9NP3/OI7FxMSEuOaaa45iVIOYnZ0VAMQ999wjhBCiXq8L0zTFd7/73XTN008/LQCI+++/XwghxI9//GOhaZqYnp5O19x0002iVCoJ3/cPe8ytVkscd9xx4vbbbxdvfvObxcc+9rFVEfsVV1wh3vCGNxzw75xzMT4+Lm644Yb0vXq9LmzbFv/jf/wPIYQQTz31lAAgHnrooXTNrbfeKhhjYs+ePYct9re//e3ij/7ojwbee+973ysuvPDCFR07APH9738//f9DFed/+2//TVSr1YHfzBVXXCFe/epXH7bYl8ODDz4oAIgXXnhhRcX+YvHv3r1bTE5OiieeeEJs2LBB/O3f/m36t5US/3Kxv+997xN/+Id/eMB/s9KvP/1IBiKd/MEviNM+/KX9Xid/8OAHIh0NrKpKQeIFfe6556bvvRwv6CONRqMBAKjVagCArVu3IgzDgbhPOOEErF+/Po37/vvvx8knnzxgaXn++eej2WziySefPOwxX3rppXj7298+EONqiP1//+//jc2bN+M//+f/jNHRUZx++ukDFp/PP/88pqenB+Ivl8vYsmXLQPyVSgWbN29O15x77rnQNA0PPPDAYYv99a9/Pe644w4888wzAIBf/vKXuO+++/C2t71txcfej0MV5/333483velNA1rq888/H9u2bcPS0tIR+SwAnb+MsVTOtdJj55zjoosuwic/+UmcdNJJ+/19pcbPOcf/+T//B8cffzzOP/98jI6OYsuWLQMthpV+/VkOq71SsKqSgt/EC/pIg3OOj3/84zjnnHNSbej09DQsy0ovMgn6456enl72cyV/O5y45ZZb8PDDDy/rwb3SY9++fTtuuukmHHfccfjXf/1XfPjDH8af/dmf4dvf/vbA/l/sNzM9PY3R0dGBvxuGgVqtdljj/9SnPoX3v//9OOGEE2CaJk4//XR8/OMfx4UXXrjiY+/HoYrzaP6OEniehyuuuAIXXHBByhBf6bFfd911MAwDf/Znf7bs31dq/LOzs2i327j22mvx1re+Ff/2b/+G97znPXjve9+Le+65J933Sr7+LIuXmH2w0qHUB4cYl156KZ544gncd999RzuUl4Vdu3bhYx/7GG6//faBPt5qAeccmzdvxhe+8AUAwOmnn44nnngCN998My6++OKjHN2L41/+5V/wT//0T/jOd76Dk046CY8++ig+/vGPY2JiYsXH/n8jwjDEH/zBH0AIgZtuuuloh/OysHXrVnzlK1/Bww8/DMbY0Q7noJBY8L7rXe/CJz7xCQDAaaedhp/97Ge4+eab8eY3v/lohvcb46VmH6x0rKpKwcF6QR9pfOQjH8GPfvQj3HXXXVi7dm36/vj4OIIgQL1eH1jfH/f4+Piynyv52+HC1q1bMTs7i9e97nUwDAOGYeCee+7B3/3d38EwDIyNja3Y2AFgzZo1OPHEEwfee81rXpOyl5P9v9hvZnx8fD+iahRFWFxcPKzxf/KTn0yrBSeffDIuuugifOITn0grNis59n4cqjiP5u8oSQheeOEF3H777QM68pUc+7333ovZ2VmsX78+PX9feOEFXH755di4ceOKjn94eBiGYbzk+buSrz/LgQlxwNdqwKpKCizLwhlnnIE77rgjfY9zjjvuuANnn332UYtLCIGPfOQj+P73v48777wTmzZtGvj7GWecAdM0B+Letm0bdu7cmcZ99tln4/HHHx84eZOL074nzaHEW97yFjz++ON49NFH09fmzZtx4YUXpv+9UmMHgHPOOWc/+eczzzyDDRs2AAA2bdqE8fHxgfibzSYeeOCBgfjr9Tq2bt2arrnzzjvBOceWLVsOW+zdbnc/NzJd19MnqJUcez8OVZxnn302fvrTnyIMw3TN7bffjle/+tUDapJDjSQhePbZZ/GTn/wEQ0NDA39fybFfdNFFeOyxxwbO34mJCXzyk5/Ev/7rv67o+C3Lwplnnvmi5+9KvnYeCKudU7Dq1Ae33HKLsG1bfOtb3xJPPfWU+JM/+RNRqVQGmKdHGh/+8IdFuVwWd999t5iamkpf3W43XfOhD31IrF+/Xtx5553iF7/4hTj77LPF2Wefnf49iiLx2te+Vpx33nni0UcfFbfddpsYGRkRn/70p4/45+lXH6z02B988EFhGIb4/Oc/L5599lnxT//0TyKXy4n//t//e7rm2muvFZVKRfyv//W/xGOPPSbe9a53iU2bNoler5eueetb3ypOP/108cADD4j77rtPHHfcceKCCy44rLFffPHFYnJyUvzoRz8Szz//vPje974nhoeHxV/8xV+suNhbrZZ45JFHxCOPPCIAiC996UvikUceSRn6hyLOer0uxsbGxEUXXSSeeOIJccstt4hcLie+/vWvH7bYgyAQ73znO8XatWvFo48+OnD+9jPXj1bsLxX/cthXfXA043+p2L/3ve8J0zTFN77xDfHss8+Kr371q0LXdXHvvfem21jJ159+JOqD113weXHmxV/c7/W6Cz6/KtQHqy4pEEKIr371q2L9+vXCsixx1llniZ///OdHNR4cgFbyj//4j+maXq8n/vRP/1RUq1WRy+XEe97zHjE1NTWwnR07doi3ve1twnVdMTw8LC6//HIRhuER/jT7JwUrPfYf/vCH4rWvfa2wbVuccMIJ4hvf+MbA3znn4sorrxRjY2PCtm3xlre8RWzbtm1gzcLCgrjgggtEoVAQpVJJXHLJJaLVah3WuJvNpvjYxz4m1q9fLxzHEcccc4z4zGc+M3AzWimx33XXXcv+xi+++OJDGucvf/lL8YY3vEHYti0mJyfFtddee1hjf/755w94/t51111HPfaXin85LJcUrMRjn+Dv//7vxate9SrhOI449dRTxQ9+8IOBbaz060+CNCl4/+fFmR/44n6v171/dSQFavaBgoKCgoLCfxDJ7IMz/uDz0K1lZh8EHrb+y2fU7AMFBQUFBYVXElaLpfFyUEmBgoKCgoLCIQLjAozvnxUs995KhEoKFBQUFBQUDhUOZFS0OnIClRQoKCgoKCgcKrAYYMuI/Vl85GP5TaCSAgUFBQUFhUOEA41JXi08A5UUKCgoKCgoHCIoToGCgoKCgoICQXEKFBQUFBQUFABVKVBQUFBQUFCQUJwCBQUFBQUFBQCrf3SySgoUFBQUFBQOFbig13LvrwKsqtHJCgoKCgoKKxlMHGB08m+YE9x4443YuHEjHMfBli1b8OCDDx5w7Te/+U288Y1vRLVaRbVaxbnnnvui65eDSgoUFBQUFBQOFYQ48Osg8c///M+47LLLcPXVV+Phhx/GqaeeivPPPx+zs7PLrr/77rtxwQUX4K677sL999+PdevW4bzzzsOePXte9j7VlEQFBQUFBYX/IJIpiW/47c/CMPafkhhFHu6767MHNSVxy5YtOPPMM/G1r30NAMA5x7p16/DRj34Un/rUp17y38dxjGq1iq997Wv4wAc+8LL2qSoFCgoKCgoKhwhMiAO+AEoe+l++7y+7nSAIsHXrVpx77rnpe5qm4dxzz8X999//smLpdrsIwxC1Wu1lx6+SAgUFBQUFhUMEFosDvgBg3bp1KJfL6euaa65Zdjvz8/OI4xhjY2MD74+NjWF6evplxXLFFVdgYmJiILF4KSj1gYKCgoKCwqHCSzga7tq1a6B9YNv2YQnj2muvxS233IK7774bjrN/O+NAUEmBgoKCgoLCIcJLORqWSqWXxSkYHh6GruuYmZkZeH9mZgbj4+Mv+m//5m/+Btdeey1+8pOf4JRTTjmI6FX7QEFBQUFB4ZDhpdoHLxeWZeGMM87AHXfckb7HOccdd9yBs88++4D/7vrrr8fnPvc53Hbbbdi8efNBx68qBQoKCgoKCocKB5If/gZCv8suuwwXX3wxNm/ejLPOOgtf/vKX0el0cMkllwAAPvCBD2BycjLlJVx33XW46qqr8J3vfAcbN25MuQeFQgGFQuFl7VMlBQoKCgoKCocIh3Ig0vve9z7Mzc3hqquuwvT0NE477TTcdtttKflw586d0LSs4H/TTTchCAL8/u///sB2rr76anz2s599efErnwIFBQUFBYX/GBKfgt8+49MH9Cm4a+s1B+VTcDSgKgUKCgoKCgqHCIwvzx9Qo5MVFBQUFBReaRA4AKfgiEfyG0ElBQoKCgoKCocK8QGMCg5SfXC0oJICBQUFBQWFQ4R+S+N9318NUEmBgoKCgoLCoQKXs5KXe38VQCUFCgoKCgoKhwqH0KfgaEAlBQoKCgoKCocILBZgy3AKDtbR8GhBJQUKCgoKCgqHCqpSoKCgoKCgoAAAiDmAZfgDseIUKCgoKCgovMJwgErBKjEqUEmBgoKCgoLCoULMAaHUBwoKCgoKCgriAEnBcu+tQKikQEFBQUFB4VBBVQoUFBQUFBQUACj1gYKCgoKCgoIEF1hWfaCmJCooKCgoKLzCwA8gSVTtAwUFBQUFhVcYVFKgoKCgoKCgAAAijiFEvP/7fP/3ViJUUqCgoKCgoHCoIMTy/AFFNFRQUFBQUHiFIY4BtkxVYJnqwUqESgoUFBQUFBQOFYTAspbGqlKgoKCgoKDwyoKIY4hlKgXL8QxWIlRSoKCgoKCgcKjABcBUpUBBQUFBQeEVDxHzA1QKlCRRQUFBQUHhlQVxAJ8ClRQoKCgoKCi8shDGHgT2rxRECI9CNAcPlRQoKCgoKCj8B2FZFsbHx3Hf9I8PuGZ8fByWZR3BqA4eTIhVwn5QUFBQUFBYwfA8D0EQHPDvlmXBcZwjGNHBQyUFCgoKCgoKCgAA7WgHoKCgoKCgoLAyoJICBQUFBQUFBQAqKVBQUFBQUFCQUEmBgoKCgoKCAgCVFCgoKCgoKChIqKRAQUFBQUFBAYBKChQUFBQUFBQk/n/t3AfwsR9pUwAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sigma = 0.2\n",
    "regular = 0.01\n",
    "A = kernel(xi.ravel(), xi.ravel(), sigma) * kernel(yi.ravel(), yi.ravel(), sigma) + regular * np.identity(xi.size)\n",
    "B = kernel(xp.ravel(), xi.ravel(), sigma) * kernel(yp.ravel(), yi.ravel(), sigma)\n",
    "\n",
    "plt.subplot(2, 1, 1)\n",
    "plt.imshow(A)\n",
    "plt.colorbar()\n",
    "plt.subplot(2, 1, 2)\n",
    "plt.imshow(B)\n",
    "plt.colorbar()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(121, 1681)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.colorbar.Colorbar at 0x7f2935ca7b50>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "W = solve(A, B, assume_a='pos')\n",
    "print(W.shape)\n",
    "plt.imshow(W)\n",
    "plt.colorbar(orientation='horizontal')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(41, 41)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.colorbar.Colorbar at 0x7f293432b040>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "zp = np.reshape(zi.ravel() @ W, (N, N))\n",
    "print(zp.shape)\n",
    "\n",
    "plt.subplot(1, 2, 1)\n",
    "plt.imshow(zi)\n",
    "plt.colorbar(orientation='horizontal')\n",
    "plt.subplot(1, 2, 2)\n",
    "plt.imshow(zp)\n",
    "plt.colorbar(orientation='horizontal')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
